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Finding the Fourth Proportional to 13,987.14, 20,962.26 and 7,411.56

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Solution

The fourth proportional to 13,987.14, 20,962.26 and 7,411.56 is: 11,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.14 : 20,962.26 = 7,411.56 : x
  2. Step 2: Convert to fraction form
    13,987.14/20,962.26 = 7,411.56/x
  3. Step 3: Cross multiply
    13,987.14x = 20,962.26 × 7,411.56
  4. Step 4: Simplify right side
    13,987.14x = 155,363,047.73
  5. Step 5: Solve for x
    x = 155,363,047.73/13,987.14
  6. Step 6: Final answer
    x = 11,107.56

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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.