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Finding the Fourth Proportional to 15,006.84, 22,505.68 and 5,648.20

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Solution

The fourth proportional to 15,006.84, 22,505.68 and 5,648.20 is: 8,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.84 : 22,505.68 = 5,648.20 : x
  2. Step 2: Convert to fraction form
    15,006.84/22,505.68 = 5,648.20/x
  3. Step 3: Cross multiply
    15,006.84x = 22,505.68 × 5,648.20
  4. Step 4: Simplify right side
    15,006.84x = 127,116,581.78
  5. Step 5: Solve for x
    x = 127,116,581.78/15,006.84
  6. Step 6: Final answer
    x = 8,470.58

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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.