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Finding the Fourth Proportional to 15,841.85, 21,852.18 and 10,174.68

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Solution

The fourth proportional to 15,841.85, 21,852.18 and 10,174.68 is: 14,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.85 : 21,852.18 = 10,174.68 : x
  2. Step 2: Convert to fraction form
    15,841.85/21,852.18 = 10,174.68/x
  3. Step 3: Cross multiply
    15,841.85x = 21,852.18 × 10,174.68
  4. Step 4: Simplify right side
    15,841.85x = 222,338,938.80
  5. Step 5: Solve for x
    x = 222,338,938.80/15,841.85
  6. Step 6: Final answer
    x = 14,034.91

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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.