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Finding the Fourth Proportional to 15,508.53, 21,401.55 and 8,434.80

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Solution

The fourth proportional to 15,508.53, 21,401.55 and 8,434.80 is: 11,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508.53 : 21,401.55 = 8,434.80 : x
  2. Step 2: Convert to fraction form
    15,508.53/21,401.55 = 8,434.80/x
  3. Step 3: Cross multiply
    15,508.53x = 21,401.55 × 8,434.80
  4. Step 4: Simplify right side
    15,508.53x = 180,517,793.94
  5. Step 5: Solve for x
    x = 180,517,793.94/15,508.53
  6. Step 6: Final answer
    x = 11,639.90

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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.