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Finding the Fourth Proportional to 22,778.68, 31,437.70 and 13,351

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Solution

The fourth proportional to 22,778.68, 31,437.70 and 13,351 is: 18,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.68 : 31,437.70 = 13,351 : x
  2. Step 2: Convert to fraction form
    22,778.68/31,437.70 = 13,351/x
  3. Step 3: Cross multiply
    22,778.68x = 31,437.70 × 13,351
  4. Step 4: Simplify right side
    22,778.68x = 419,724,732.70
  5. Step 5: Solve for x
    x = 419,724,732.70/22,778.68
  6. Step 6: Final answer
    x = 18,426.21

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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.