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Finding the Fourth Proportional to 16,411.69, 24,599.85 and 7,960.30

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Solution

The fourth proportional to 16,411.69, 24,599.85 and 7,960.30 is: 11,931.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.69 : 24,599.85 = 7,960.30 : x
  2. Step 2: Convert to fraction form
    16,411.69/24,599.85 = 7,960.30/x
  3. Step 3: Cross multiply
    16,411.69x = 24,599.85 × 7,960.30
  4. Step 4: Simplify right side
    16,411.69x = 195,822,124.46
  5. Step 5: Solve for x
    x = 195,822,124.46/16,411.69
  6. Step 6: Final answer
    x = 11,931.87

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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.