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Finding the Fourth Proportional to 12,841.90, 17,724 and 7,463.50

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Solution

The fourth proportional to 12,841.90, 17,724 and 7,463.50 is: 10,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.90 : 17,724 = 7,463.50 : x
  2. Step 2: Convert to fraction form
    12,841.90/17,724 = 7,463.50/x
  3. Step 3: Cross multiply
    12,841.90x = 17,724 × 7,463.50
  4. Step 4: Simplify right side
    12,841.90x = 132,283,074
  5. Step 5: Solve for x
    x = 132,283,074/12,841.90
  6. Step 6: Final answer
    x = 10,300.90

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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.