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Finding the Fourth Proportional to 10,242.14, 14,104.41 and 8,897.14

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Solution

The fourth proportional to 10,242.14, 14,104.41 and 8,897.14 is: 12,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.14 : 14,104.41 = 8,897.14 : x
  2. Step 2: Convert to fraction form
    10,242.14/14,104.41 = 8,897.14/x
  3. Step 3: Cross multiply
    10,242.14x = 14,104.41 × 8,897.14
  4. Step 4: Simplify right side
    10,242.14x = 125,488,839.87
  5. Step 5: Solve for x
    x = 125,488,839.87/10,242.14
  6. Step 6: Final answer
    x = 12,252.21

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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.