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Finding the Fourth Proportional to 16,446.65, 24,669.92 and 5,916.65

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Solution

The fourth proportional to 16,446.65, 24,669.92 and 5,916.65 is: 8,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.65 : 24,669.92 = 5,916.65 : x
  2. Step 2: Convert to fraction form
    16,446.65/24,669.92 = 5,916.65/x
  3. Step 3: Cross multiply
    16,446.65x = 24,669.92 × 5,916.65
  4. Step 4: Simplify right side
    16,446.65x = 145,963,282.17
  5. Step 5: Solve for x
    x = 145,963,282.17/16,446.65
  6. Step 6: Final answer
    x = 8,874.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.