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Finding the Fourth Proportional to 22,801.92, 31,467.18 and 14,304.40

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Solution

The fourth proportional to 22,801.92, 31,467.18 and 14,304.40 is: 19,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.92 : 31,467.18 = 14,304.40 : x
  2. Step 2: Convert to fraction form
    22,801.92/31,467.18 = 14,304.40/x
  3. Step 3: Cross multiply
    22,801.92x = 31,467.18 × 14,304.40
  4. Step 4: Simplify right side
    22,801.92x = 450,119,129.59
  5. Step 5: Solve for x
    x = 450,119,129.59/22,801.92
  6. Step 6: Final answer
    x = 19,740.40

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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.