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Finding the Fourth Proportional to 23,008.40, 31,713.35 and 16,285.40

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Solution

The fourth proportional to 23,008.40, 31,713.35 and 16,285.40 is: 22,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008.40 : 31,713.35 = 16,285.40 : x
  2. Step 2: Convert to fraction form
    23,008.40/31,713.35 = 16,285.40/x
  3. Step 3: Cross multiply
    23,008.40x = 31,713.35 × 16,285.40
  4. Step 4: Simplify right side
    23,008.40x = 516,464,350.10
  5. Step 5: Solve for x
    x = 516,464,350.10/23,008.40
  6. Step 6: Final answer
    x = 22,446.78

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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.