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Finding the Fourth Proportional to 22,657.79, 31,265.49 and 13,580.75

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Solution

The fourth proportional to 22,657.79, 31,265.49 and 13,580.75 is: 18,740.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.79 : 31,265.49 = 13,580.75 : x
  2. Step 2: Convert to fraction form
    22,657.79/31,265.49 = 13,580.75/x
  3. Step 3: Cross multiply
    22,657.79x = 31,265.49 × 13,580.75
  4. Step 4: Simplify right side
    22,657.79x = 424,608,646.99
  5. Step 5: Solve for x
    x = 424,608,646.99/22,657.79
  6. Step 6: Final answer
    x = 18,740.08

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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.