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Finding the Fourth Proportional to 12,841.50, 17,723.16 and 7,539.24

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Solution

The fourth proportional to 12,841.50, 17,723.16 and 7,539.24 is: 10,405.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.50 : 17,723.16 = 7,539.24 : x
  2. Step 2: Convert to fraction form
    12,841.50/17,723.16 = 7,539.24/x
  3. Step 3: Cross multiply
    12,841.50x = 17,723.16 × 7,539.24
  4. Step 4: Simplify right side
    12,841.50x = 133,619,156.80
  5. Step 5: Solve for x
    x = 133,619,156.80/12,841.50
  6. Step 6: Final answer
    x = 10,405.26

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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.