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Finding the Fourth Proportional to 23,830.73, 35,746.36 and 7,190.92

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Solution

The fourth proportional to 23,830.73, 35,746.36 and 7,190.92 is: 10,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.73 : 35,746.36 = 7,190.92 : x
  2. Step 2: Convert to fraction form
    23,830.73/35,746.36 = 7,190.92/x
  3. Step 3: Cross multiply
    23,830.73x = 35,746.36 × 7,190.92
  4. Step 4: Simplify right side
    23,830.73x = 257,049,107.71
  5. Step 5: Solve for x
    x = 257,049,107.71/23,830.73
  6. Step 6: Final answer
    x = 10,786.46

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.