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Finding the Fourth Proportional to 13,242.64, 19,866.52 and 5,034

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Solution

The fourth proportional to 13,242.64, 19,866.52 and 5,034 is: 7,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.64 : 19,866.52 = 5,034 : x
  2. Step 2: Convert to fraction form
    13,242.64/19,866.52 = 5,034/x
  3. Step 3: Cross multiply
    13,242.64x = 19,866.52 × 5,034
  4. Step 4: Simplify right side
    13,242.64x = 100,008,061.68
  5. Step 5: Solve for x
    x = 100,008,061.68/13,242.64
  6. Step 6: Final answer
    x = 7,551.97

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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.