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Finding the Fourth Proportional to 24,868.40, 37,305.96 and 7,335.68

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Solution

The fourth proportional to 24,868.40, 37,305.96 and 7,335.68 is: 11,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,868.40 : 37,305.96 = 7,335.68 : x
  2. Step 2: Convert to fraction form
    24,868.40/37,305.96 = 7,335.68/x
  3. Step 3: Cross multiply
    24,868.40x = 37,305.96 × 7,335.68
  4. Step 4: Simplify right side
    24,868.40x = 273,664,584.65
  5. Step 5: Solve for x
    x = 273,664,584.65/24,868.40
  6. Step 6: Final answer
    x = 11,004.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.