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Finding the Fourth Proportional to 23,810.49, 35,712.86 and 6,281.64

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Solution

The fourth proportional to 23,810.49, 35,712.86 and 6,281.64 is: 9,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,810.49 : 35,712.86 = 6,281.64 : x
  2. Step 2: Convert to fraction form
    23,810.49/35,712.86 = 6,281.64/x
  3. Step 3: Cross multiply
    23,810.49x = 35,712.86 × 6,281.64
  4. Step 4: Simplify right side
    23,810.49x = 224,335,298.48
  5. Step 5: Solve for x
    x = 224,335,298.48/23,810.49
  6. Step 6: Final answer
    x = 9,421.70

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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.