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Finding the Fourth Proportional to 16,543.71, 24,792.01 and 8,215.56

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Solution

The fourth proportional to 16,543.71, 24,792.01 and 8,215.56 is: 12,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.71 : 24,792.01 = 8,215.56 : x
  2. Step 2: Convert to fraction form
    16,543.71/24,792.01 = 8,215.56/x
  3. Step 3: Cross multiply
    16,543.71x = 24,792.01 × 8,215.56
  4. Step 4: Simplify right side
    16,543.71x = 203,680,225.14
  5. Step 5: Solve for x
    x = 203,680,225.14/16,543.71
  6. Step 6: Final answer
    x = 12,311.64

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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.