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Finding the Fourth Proportional to 24,524.93, 36,761.06 and 9,713.27

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Solution

The fourth proportional to 24,524.93, 36,761.06 and 9,713.27 is: 14,559.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,524.93 : 36,761.06 = 9,713.27 : x
  2. Step 2: Convert to fraction form
    24,524.93/36,761.06 = 9,713.27/x
  3. Step 3: Cross multiply
    24,524.93x = 36,761.06 × 9,713.27
  4. Step 4: Simplify right side
    24,524.93x = 357,070,101.27
  5. Step 5: Solve for x
    x = 357,070,101.27/24,524.93
  6. Step 6: Final answer
    x = 14,559.47

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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.