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Finding the Fourth Proportional to 24,242.86, 36,357.81 and 6,713.65

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Solution

The fourth proportional to 24,242.86, 36,357.81 and 6,713.65 is: 10,068.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242.86 : 36,357.81 = 6,713.65 : x
  2. Step 2: Convert to fraction form
    24,242.86/36,357.81 = 6,713.65/x
  3. Step 3: Cross multiply
    24,242.86x = 36,357.81 × 6,713.65
  4. Step 4: Simplify right side
    24,242.86x = 244,093,611.11
  5. Step 5: Solve for x
    x = 244,093,611.11/24,242.86
  6. Step 6: Final answer
    x = 10,068.68

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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.