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Finding the Fourth Proportional to 24,499.27, 36,746.38 and 7,871.23

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Solution

The fourth proportional to 24,499.27, 36,746.38 and 7,871.23 is: 11,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499.27 : 36,746.38 = 7,871.23 : x
  2. Step 2: Convert to fraction form
    24,499.27/36,746.38 = 7,871.23/x
  3. Step 3: Cross multiply
    24,499.27x = 36,746.38 × 7,871.23
  4. Step 4: Simplify right side
    24,499.27x = 289,239,208.65
  5. Step 5: Solve for x
    x = 289,239,208.65/24,499.27
  6. Step 6: Final answer
    x = 11,806.03

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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.