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Finding the Fourth Proportional to 13,143.68, 19,715.16 and 5,358.08

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Solution

The fourth proportional to 13,143.68, 19,715.16 and 5,358.08 is: 8,036.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.68 : 19,715.16 = 5,358.08 : x
  2. Step 2: Convert to fraction form
    13,143.68/19,715.16 = 5,358.08/x
  3. Step 3: Cross multiply
    13,143.68x = 19,715.16 × 5,358.08
  4. Step 4: Simplify right side
    13,143.68x = 105,635,404.49
  5. Step 5: Solve for x
    x = 105,635,404.49/13,143.68
  6. Step 6: Final answer
    x = 8,036.97

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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.