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Finding the Fourth Proportional to 10,250.14, 14,115.41 and 8,905.14

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Solution

The fourth proportional to 10,250.14, 14,115.41 and 8,905.14 is: 12,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.14 : 14,115.41 = 8,905.14 : x
  2. Step 2: Convert to fraction form
    10,250.14/14,115.41 = 8,905.14/x
  3. Step 3: Cross multiply
    10,250.14x = 14,115.41 × 8,905.14
  4. Step 4: Simplify right side
    10,250.14x = 125,699,702.21
  5. Step 5: Solve for x
    x = 125,699,702.21/10,250.14
  6. Step 6: Final answer
    x = 12,263.22

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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.