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Finding the Fourth Proportional to 13,706.59, 20,543.46 and 8,433.18

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Solution

The fourth proportional to 13,706.59, 20,543.46 and 8,433.18 is: 12,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.59 : 20,543.46 = 8,433.18 : x
  2. Step 2: Convert to fraction form
    13,706.59/20,543.46 = 8,433.18/x
  3. Step 3: Cross multiply
    13,706.59x = 20,543.46 × 8,433.18
  4. Step 4: Simplify right side
    13,706.59x = 173,246,696.00
  5. Step 5: Solve for x
    x = 173,246,696.00/13,706.59
  6. Step 6: Final answer
    x = 12,639.66

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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.