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Finding the Fourth Proportional to 15,087.72, 20,821.28 and 8,282.30

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Solution

The fourth proportional to 15,087.72, 20,821.28 and 8,282.30 is: 11,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,087.72 : 20,821.28 = 8,282.30 : x
  2. Step 2: Convert to fraction form
    15,087.72/20,821.28 = 8,282.30/x
  3. Step 3: Cross multiply
    15,087.72x = 20,821.28 × 8,282.30
  4. Step 4: Simplify right side
    15,087.72x = 172,448,087.34
  5. Step 5: Solve for x
    x = 172,448,087.34/15,087.72
  6. Step 6: Final answer
    x = 11,429.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.