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Finding the Fourth Proportional to 13,987.13, 20,980.69 and 4,753.13

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Solution

The fourth proportional to 13,987.13, 20,980.69 and 4,753.13 is: 7,129.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.13 : 20,980.69 = 4,753.13 : x
  2. Step 2: Convert to fraction form
    13,987.13/20,980.69 = 4,753.13/x
  3. Step 3: Cross multiply
    13,987.13x = 20,980.69 × 4,753.13
  4. Step 4: Simplify right side
    13,987.13x = 99,723,830.27
  5. Step 5: Solve for x
    x = 99,723,830.27/13,987.13
  6. Step 6: Final answer
    x = 7,129.69

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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.