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Finding the Fourth Proportional to 12,614.88, 17,401.68 and 7,898.16

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Solution

The fourth proportional to 12,614.88, 17,401.68 and 7,898.16 is: 10,895.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.88 : 17,401.68 = 7,898.16 : x
  2. Step 2: Convert to fraction form
    12,614.88/17,401.68 = 7,898.16/x
  3. Step 3: Cross multiply
    12,614.88x = 17,401.68 × 7,898.16
  4. Step 4: Simplify right side
    12,614.88x = 137,441,252.91
  5. Step 5: Solve for x
    x = 137,441,252.91/12,614.88
  6. Step 6: Final answer
    x = 10,895.17

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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.