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Finding the Fourth Proportional to 24,717.57, 37,080.08 and 7,185.12

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Solution

The fourth proportional to 24,717.57, 37,080.08 and 7,185.12 is: 10,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,717.57 : 37,080.08 = 7,185.12 : x
  2. Step 2: Convert to fraction form
    24,717.57/37,080.08 = 7,185.12/x
  3. Step 3: Cross multiply
    24,717.57x = 37,080.08 × 7,185.12
  4. Step 4: Simplify right side
    24,717.57x = 266,424,788.48
  5. Step 5: Solve for x
    x = 266,424,788.48/24,717.57
  6. Step 6: Final answer
    x = 10,778.76

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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.