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Finding the Fourth Proportional to 25,553.84, 38,337.14 and 8,914.11

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Solution

The fourth proportional to 25,553.84, 38,337.14 and 8,914.11 is: 13,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,553.84 : 38,337.14 = 8,914.11 : x
  2. Step 2: Convert to fraction form
    25,553.84/38,337.14 = 8,914.11/x
  3. Step 3: Cross multiply
    25,553.84x = 38,337.14 × 8,914.11
  4. Step 4: Simplify right side
    25,553.84x = 341,741,505.33
  5. Step 5: Solve for x
    x = 341,741,505.33/25,553.84
  6. Step 6: Final answer
    x = 13,373.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.