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Finding the Fourth Proportional to 29,314.38, 40,438.53 and 17,986.40

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Solution

The fourth proportional to 29,314.38, 40,438.53 and 17,986.40 is: 24,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,314.38 : 40,438.53 = 17,986.40 : x
  2. Step 2: Convert to fraction form
    29,314.38/40,438.53 = 17,986.40/x
  3. Step 3: Cross multiply
    29,314.38x = 40,438.53 × 17,986.40
  4. Step 4: Simplify right side
    29,314.38x = 727,343,373.80
  5. Step 5: Solve for x
    x = 727,343,373.80/29,314.38
  6. Step 6: Final answer
    x = 24,811.83

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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.