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Finding the Fourth Proportional to 12,838.17, 17,715.82 and 7,248.81

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Solution

The fourth proportional to 12,838.17, 17,715.82 and 7,248.81 is: 10,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.17 : 17,715.82 = 7,248.81 : x
  2. Step 2: Convert to fraction form
    12,838.17/17,715.82 = 7,248.81/x
  3. Step 3: Cross multiply
    12,838.17x = 17,715.82 × 7,248.81
  4. Step 4: Simplify right side
    12,838.17x = 128,418,613.17
  5. Step 5: Solve for x
    x = 128,418,613.17/12,838.17
  6. Step 6: Final answer
    x = 10,002.88

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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.