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Finding the Fourth Proportional to 22,470.68, 31,019.48 and 14,516.78

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Solution

The fourth proportional to 22,470.68, 31,019.48 and 14,516.78 is: 20,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.68 : 31,019.48 = 14,516.78 : x
  2. Step 2: Convert to fraction form
    22,470.68/31,019.48 = 14,516.78/x
  3. Step 3: Cross multiply
    22,470.68x = 31,019.48 × 14,516.78
  4. Step 4: Simplify right side
    22,470.68x = 450,302,966.87
  5. Step 5: Solve for x
    x = 450,302,966.87/22,470.68
  6. Step 6: Final answer
    x = 20,039.58

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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.