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Finding the Fourth Proportional to 22,925.61, 31,638.87 and 12,854.70

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Solution

The fourth proportional to 22,925.61, 31,638.87 and 12,854.70 is: 17,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,925.61 : 31,638.87 = 12,854.70 : x
  2. Step 2: Convert to fraction form
    22,925.61/31,638.87 = 12,854.70/x
  3. Step 3: Cross multiply
    22,925.61x = 31,638.87 × 12,854.70
  4. Step 4: Simplify right side
    22,925.61x = 406,708,182.19
  5. Step 5: Solve for x
    x = 406,708,182.19/22,925.61
  6. Step 6: Final answer
    x = 17,740.34

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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.