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Finding the Fourth Proportional to 22,527.74, 31,089.14 and 14,961.02

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Solution

The fourth proportional to 22,527.74, 31,089.14 and 14,961.02 is: 20,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,527.74 : 31,089.14 = 14,961.02 : x
  2. Step 2: Convert to fraction form
    22,527.74/31,089.14 = 14,961.02/x
  3. Step 3: Cross multiply
    22,527.74x = 31,089.14 × 14,961.02
  4. Step 4: Simplify right side
    22,527.74x = 465,125,245.32
  5. Step 5: Solve for x
    x = 465,125,245.32/22,527.74
  6. Step 6: Final answer
    x = 20,646.78

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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.