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Finding the Fourth Proportional to 15,854.56, 21,877.42 and 9,140.11

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Solution

The fourth proportional to 15,854.56, 21,877.42 and 9,140.11 is: 12,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.56 : 21,877.42 = 9,140.11 : x
  2. Step 2: Convert to fraction form
    15,854.56/21,877.42 = 9,140.11/x
  3. Step 3: Cross multiply
    15,854.56x = 21,877.42 × 9,140.11
  4. Step 4: Simplify right side
    15,854.56x = 199,962,025.32
  5. Step 5: Solve for x
    x = 199,962,025.32/15,854.56
  6. Step 6: Final answer
    x = 12,612.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.