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Finding the Fourth Proportional to 13,987, 20,980.50 and 9,591.13

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Solution

The fourth proportional to 13,987, 20,980.50 and 9,591.13 is: 14,386.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987 : 20,980.50 = 9,591.13 : x
  2. Step 2: Convert to fraction form
    13,987/20,980.50 = 9,591.13/x
  3. Step 3: Cross multiply
    13,987x = 20,980.50 × 9,591.13
  4. Step 4: Simplify right side
    13,987x = 201,226,702.97
  5. Step 5: Solve for x
    x = 201,226,702.97/13,987
  6. Step 6: Final answer
    x = 14,386.70

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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.