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Finding the Fourth Proportional to 13,132.16, 19,697.82 and 5,340.80

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Solution

The fourth proportional to 13,132.16, 19,697.82 and 5,340.80 is: 8,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.16 : 19,697.82 = 5,340.80 : x
  2. Step 2: Convert to fraction form
    13,132.16/19,697.82 = 5,340.80/x
  3. Step 3: Cross multiply
    13,132.16x = 19,697.82 × 5,340.80
  4. Step 4: Simplify right side
    13,132.16x = 105,202,117.06
  5. Step 5: Solve for x
    x = 105,202,117.06/13,132.16
  6. Step 6: Final answer
    x = 8,011.03

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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.