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Finding the Fourth Proportional to 22,468.28, 31,005.80 and 12,397.68

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Solution

The fourth proportional to 22,468.28, 31,005.80 and 12,397.68 is: 17,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.28 : 31,005.80 = 12,397.68 : x
  2. Step 2: Convert to fraction form
    22,468.28/31,005.80 = 12,397.68/x
  3. Step 3: Cross multiply
    22,468.28x = 31,005.80 × 12,397.68
  4. Step 4: Simplify right side
    22,468.28x = 384,399,986.54
  5. Step 5: Solve for x
    x = 384,399,986.54/22,468.28
  6. Step 6: Final answer
    x = 17,108.56

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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.