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Finding the Fourth Proportional to 13,122.56, 19,680.42 and 6,543.92

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Solution

The fourth proportional to 13,122.56, 19,680.42 and 6,543.92 is: 9,814.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.56 : 19,680.42 = 6,543.92 : x
  2. Step 2: Convert to fraction form
    13,122.56/19,680.42 = 6,543.92/x
  3. Step 3: Cross multiply
    13,122.56x = 19,680.42 × 6,543.92
  4. Step 4: Simplify right side
    13,122.56x = 128,787,094.05
  5. Step 5: Solve for x
    x = 128,787,094.05/13,122.56
  6. Step 6: Final answer
    x = 9,814.17

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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.