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Finding the Fourth Proportional to 14,711.49, 20,302.25 and 7,997.57

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Solution

The fourth proportional to 14,711.49, 20,302.25 and 7,997.57 is: 11,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.49 : 20,302.25 = 7,997.57 : x
  2. Step 2: Convert to fraction form
    14,711.49/20,302.25 = 7,997.57/x
  3. Step 3: Cross multiply
    14,711.49x = 20,302.25 × 7,997.57
  4. Step 4: Simplify right side
    14,711.49x = 162,368,665.53
  5. Step 5: Solve for x
    x = 162,368,665.53/14,711.49
  6. Step 6: Final answer
    x = 11,036.86

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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.