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Finding the Fourth Proportional to 24,606.93, 36,854.89 and 11,431.57

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Solution

The fourth proportional to 24,606.93, 36,854.89 and 11,431.57 is: 17,121.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606.93 : 36,854.89 = 11,431.57 : x
  2. Step 2: Convert to fraction form
    24,606.93/36,854.89 = 11,431.57/x
  3. Step 3: Cross multiply
    24,606.93x = 36,854.89 × 11,431.57
  4. Step 4: Simplify right side
    24,606.93x = 421,309,254.88
  5. Step 5: Solve for x
    x = 421,309,254.88/24,606.93
  6. Step 6: Final answer
    x = 17,121.57

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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.