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Finding the Fourth Proportional to 16,384.60, 24,572.10 and 7,617.40

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Solution

The fourth proportional to 16,384.60, 24,572.10 and 7,617.40 is: 11,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.60 : 24,572.10 = 7,617.40 : x
  2. Step 2: Convert to fraction form
    16,384.60/24,572.10 = 7,617.40/x
  3. Step 3: Cross multiply
    16,384.60x = 24,572.10 × 7,617.40
  4. Step 4: Simplify right side
    16,384.60x = 187,175,514.54
  5. Step 5: Solve for x
    x = 187,175,514.54/16,384.60
  6. Step 6: Final answer
    x = 11,423.87

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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.