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Finding the Fourth Proportional to 16,543.16, 22,829.57 and 8,989.57

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Solution

The fourth proportional to 16,543.16, 22,829.57 and 8,989.57 is: 12,405.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.16 : 22,829.57 = 8,989.57 : x
  2. Step 2: Convert to fraction form
    16,543.16/22,829.57 = 8,989.57/x
  3. Step 3: Cross multiply
    16,543.16x = 22,829.57 × 8,989.57
  4. Step 4: Simplify right side
    16,543.16x = 205,227,982.98
  5. Step 5: Solve for x
    x = 205,227,982.98/16,543.16
  6. Step 6: Final answer
    x = 12,405.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.