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Finding the Fourth Proportional to 23,886.87, 35,830.19 and 6,117.50

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Solution

The fourth proportional to 23,886.87, 35,830.19 and 6,117.50 is: 9,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.87 : 35,830.19 = 6,117.50 : x
  2. Step 2: Convert to fraction form
    23,886.87/35,830.19 = 6,117.50/x
  3. Step 3: Cross multiply
    23,886.87x = 35,830.19 × 6,117.50
  4. Step 4: Simplify right side
    23,886.87x = 219,190,977.59
  5. Step 5: Solve for x
    x = 219,190,977.59/23,886.87
  6. Step 6: Final answer
    x = 9,176.21

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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.