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Finding the Fourth Proportional to 11,927.10, 17,909.37 and 10,102.14

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Solution

The fourth proportional to 11,927.10, 17,909.37 and 10,102.14 is: 15,169.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,927.10 : 17,909.37 = 10,102.14 : x
  2. Step 2: Convert to fraction form
    11,927.10/17,909.37 = 10,102.14/x
  3. Step 3: Cross multiply
    11,927.10x = 17,909.37 × 10,102.14
  4. Step 4: Simplify right side
    11,927.10x = 180,922,963.05
  5. Step 5: Solve for x
    x = 180,922,963.05/11,927.10
  6. Step 6: Final answer
    x = 15,169.07

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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.