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Finding the Fourth Proportional to 23,240.38, 34,866.04 and 7,658

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Solution

The fourth proportional to 23,240.38, 34,866.04 and 7,658 is: 11,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,240.38 : 34,866.04 = 7,658 : x
  2. Step 2: Convert to fraction form
    23,240.38/34,866.04 = 7,658/x
  3. Step 3: Cross multiply
    23,240.38x = 34,866.04 × 7,658
  4. Step 4: Simplify right side
    23,240.38x = 267,004,134.32
  5. Step 5: Solve for x
    x = 267,004,134.32/23,240.38
  6. Step 6: Final answer
    x = 11,488.80

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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.