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Finding the Fourth Proportional to 22,821.61, 34,232.04 and 8,784.68

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Solution

The fourth proportional to 22,821.61, 34,232.04 and 8,784.68 is: 13,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.61 : 34,232.04 = 8,784.68 : x
  2. Step 2: Convert to fraction form
    22,821.61/34,232.04 = 8,784.68/x
  3. Step 3: Cross multiply
    22,821.61x = 34,232.04 × 8,784.68
  4. Step 4: Simplify right side
    22,821.61x = 300,717,473.22
  5. Step 5: Solve for x
    x = 300,717,473.22/22,821.61
  6. Step 6: Final answer
    x = 13,176.88

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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.