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Finding the Fourth Proportional to 13,002.92, 19,473.12 and 7,439.42

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Solution

The fourth proportional to 13,002.92, 19,473.12 and 7,439.42 is: 11,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.92 : 19,473.12 = 7,439.42 : x
  2. Step 2: Convert to fraction form
    13,002.92/19,473.12 = 7,439.42/x
  3. Step 3: Cross multiply
    13,002.92x = 19,473.12 × 7,439.42
  4. Step 4: Simplify right side
    13,002.92x = 144,868,718.39
  5. Step 5: Solve for x
    x = 144,868,718.39/13,002.92
  6. Step 6: Final answer
    x = 11,141.25

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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.