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Finding the Fourth Proportional to 23,448.80, 35,177.76 and 7,658.24

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Solution

The fourth proportional to 23,448.80, 35,177.76 and 7,658.24 is: 11,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448.80 : 35,177.76 = 7,658.24 : x
  2. Step 2: Convert to fraction form
    23,448.80/35,177.76 = 7,658.24/x
  3. Step 3: Cross multiply
    23,448.80x = 35,177.76 × 7,658.24
  4. Step 4: Simplify right side
    23,448.80x = 269,399,728.74
  5. Step 5: Solve for x
    x = 269,399,728.74/23,448.80
  6. Step 6: Final answer
    x = 11,488.85

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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.