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Finding the Fourth Proportional to 24,318.29, 36,486.96 and 9,524.66

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Solution

The fourth proportional to 24,318.29, 36,486.96 and 9,524.66 is: 14,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,318.29 : 36,486.96 = 9,524.66 : x
  2. Step 2: Convert to fraction form
    24,318.29/36,486.96 = 9,524.66/x
  3. Step 3: Cross multiply
    24,318.29x = 36,486.96 × 9,524.66
  4. Step 4: Simplify right side
    24,318.29x = 347,525,670.28
  5. Step 5: Solve for x
    x = 347,525,670.28/24,318.29
  6. Step 6: Final answer
    x = 14,290.71

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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.