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Finding the Fourth Proportional to 11,138.28, 16,710.50 and 9,914.24

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Solution

The fourth proportional to 11,138.28, 16,710.50 and 9,914.24 is: 14,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.28 : 16,710.50 = 9,914.24 : x
  2. Step 2: Convert to fraction form
    11,138.28/16,710.50 = 9,914.24/x
  3. Step 3: Cross multiply
    11,138.28x = 16,710.50 × 9,914.24
  4. Step 4: Simplify right side
    11,138.28x = 165,671,907.52
  5. Step 5: Solve for x
    x = 165,671,907.52/11,138.28
  6. Step 6: Final answer
    x = 14,874.10

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