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Finding the Fourth Proportional to 16,543.71, 24,792.26 and 8,215.83

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Solution

The fourth proportional to 16,543.71, 24,792.26 and 8,215.83 is: 12,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.71 : 24,792.26 = 8,215.83 : x
  2. Step 2: Convert to fraction form
    16,543.71/24,792.26 = 8,215.83/x
  3. Step 3: Cross multiply
    16,543.71x = 24,792.26 × 8,215.83
  4. Step 4: Simplify right side
    16,543.71x = 203,688,952.40
  5. Step 5: Solve for x
    x = 203,688,952.40/16,543.71
  6. Step 6: Final answer
    x = 12,312.17

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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.