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Finding the Fourth Proportional to 24,778.40, 34,195.50 and 14,170.16

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Solution

The fourth proportional to 24,778.40, 34,195.50 and 14,170.16 is: 19,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,778.40 : 34,195.50 = 14,170.16 : x
  2. Step 2: Convert to fraction form
    24,778.40/34,195.50 = 14,170.16/x
  3. Step 3: Cross multiply
    24,778.40x = 34,195.50 × 14,170.16
  4. Step 4: Simplify right side
    24,778.40x = 484,555,706.28
  5. Step 5: Solve for x
    x = 484,555,706.28/24,778.40
  6. Step 6: Final answer
    x = 19,555.57

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