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Finding the Fourth Proportional to 15,197.17, 22,798.71 and 5,836.50

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Solution

The fourth proportional to 15,197.17, 22,798.71 and 5,836.50 is: 8,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,197.17 : 22,798.71 = 5,836.50 : x
  2. Step 2: Convert to fraction form
    15,197.17/22,798.71 = 5,836.50/x
  3. Step 3: Cross multiply
    15,197.17x = 22,798.71 × 5,836.50
  4. Step 4: Simplify right side
    15,197.17x = 133,064,641.73
  5. Step 5: Solve for x
    x = 133,064,641.73/15,197.17
  6. Step 6: Final answer
    x = 8,755.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.