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Finding the Fourth Proportional to 22,646.16, 31,251.96 and 12,574.80

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Solution

The fourth proportional to 22,646.16, 31,251.96 and 12,574.80 is: 17,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.16 : 31,251.96 = 12,574.80 : x
  2. Step 2: Convert to fraction form
    22,646.16/31,251.96 = 12,574.80/x
  3. Step 3: Cross multiply
    22,646.16x = 31,251.96 × 12,574.80
  4. Step 4: Simplify right side
    22,646.16x = 392,987,146.61
  5. Step 5: Solve for x
    x = 392,987,146.61/22,646.16
  6. Step 6: Final answer
    x = 17,353.37

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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.