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Finding the Fourth Proportional to 22,002.30, 33,019.65 and 8,864.10

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Solution

The fourth proportional to 22,002.30, 33,019.65 and 8,864.10 is: 13,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.30 : 33,019.65 = 8,864.10 : x
  2. Step 2: Convert to fraction form
    22,002.30/33,019.65 = 8,864.10/x
  3. Step 3: Cross multiply
    22,002.30x = 33,019.65 × 8,864.10
  4. Step 4: Simplify right side
    22,002.30x = 292,689,479.57
  5. Step 5: Solve for x
    x = 292,689,479.57/22,002.30
  6. Step 6: Final answer
    x = 13,302.68

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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.