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Finding the Fourth Proportional to 34,706.18, 52,080.69 and 13,642.54

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Solution

The fourth proportional to 34,706.18, 52,080.69 and 13,642.54 is: 20,472.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,706.18 : 52,080.69 = 13,642.54 : x
  2. Step 2: Convert to fraction form
    34,706.18/52,080.69 = 13,642.54/x
  3. Step 3: Cross multiply
    34,706.18x = 52,080.69 × 13,642.54
  4. Step 4: Simplify right side
    34,706.18x = 710,512,636.15
  5. Step 5: Solve for x
    x = 710,512,636.15/34,706.18
  6. Step 6: Final answer
    x = 20,472.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.