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Finding the Fourth Proportional to 24,781.68, 37,143.72 and 9,189.36

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Solution

The fourth proportional to 24,781.68, 37,143.72 and 9,189.36 is: 13,773.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781.68 : 37,143.72 = 9,189.36 : x
  2. Step 2: Convert to fraction form
    24,781.68/37,143.72 = 9,189.36/x
  3. Step 3: Cross multiply
    24,781.68x = 37,143.72 × 9,189.36
  4. Step 4: Simplify right side
    24,781.68x = 341,327,014.82
  5. Step 5: Solve for x
    x = 341,327,014.82/24,781.68
  6. Step 6: Final answer
    x = 13,773.36

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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.