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Finding the Fourth Proportional to 26,706.32, 36,854.52 and 14,770.16

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Solution

The fourth proportional to 26,706.32, 36,854.52 and 14,770.16 is: 20,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,706.32 : 36,854.52 = 14,770.16 : x
  2. Step 2: Convert to fraction form
    26,706.32/36,854.52 = 14,770.16/x
  3. Step 3: Cross multiply
    26,706.32x = 36,854.52 × 14,770.16
  4. Step 4: Simplify right side
    26,706.32x = 544,347,157.12
  5. Step 5: Solve for x
    x = 544,347,157.12/26,706.32
  6. Step 6: Final answer
    x = 20,382.71

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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.