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Finding the Fourth Proportional to 13,710.18, 20,561.07 and 7,132.80

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Solution

The fourth proportional to 13,710.18, 20,561.07 and 7,132.80 is: 10,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.18 : 20,561.07 = 7,132.80 : x
  2. Step 2: Convert to fraction form
    13,710.18/20,561.07 = 7,132.80/x
  3. Step 3: Cross multiply
    13,710.18x = 20,561.07 × 7,132.80
  4. Step 4: Simplify right side
    13,710.18x = 146,658,000.10
  5. Step 5: Solve for x
    x = 146,658,000.10/13,710.18
  6. Step 6: Final answer
    x = 10,697.01

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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.