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Finding the Fourth Proportional to 22,470.52, 31,009.56 and 12,399.28

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Solution

The fourth proportional to 22,470.52, 31,009.56 and 12,399.28 is: 17,111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.52 : 31,009.56 = 12,399.28 : x
  2. Step 2: Convert to fraction form
    22,470.52/31,009.56 = 12,399.28/x
  3. Step 3: Cross multiply
    22,470.52x = 31,009.56 × 12,399.28
  4. Step 4: Simplify right side
    22,470.52x = 384,496,217.12
  5. Step 5: Solve for x
    x = 384,496,217.12/22,470.52
  6. Step 6: Final answer
    x = 17,111.14

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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.