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Finding the Fourth Proportional to 23,008.65, 31,713.69 and 16,285.65

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Solution

The fourth proportional to 23,008.65, 31,713.69 and 16,285.65 is: 22,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008.65 : 31,713.69 = 16,285.65 : x
  2. Step 2: Convert to fraction form
    23,008.65/31,713.69 = 16,285.65/x
  3. Step 3: Cross multiply
    23,008.65x = 31,713.69 × 16,285.65
  4. Step 4: Simplify right side
    23,008.65x = 516,478,055.55
  5. Step 5: Solve for x
    x = 516,478,055.55/23,008.65
  6. Step 6: Final answer
    x = 22,447.13

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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.