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Finding the Fourth Proportional to 24,488.40, 36,732.09 and 7,848.48

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Solution

The fourth proportional to 24,488.40, 36,732.09 and 7,848.48 is: 11,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,488.40 : 36,732.09 = 7,848.48 : x
  2. Step 2: Convert to fraction form
    24,488.40/36,732.09 = 7,848.48/x
  3. Step 3: Cross multiply
    24,488.40x = 36,732.09 × 7,848.48
  4. Step 4: Simplify right side
    24,488.40x = 288,291,073.72
  5. Step 5: Solve for x
    x = 288,291,073.72/24,488.40
  6. Step 6: Final answer
    x = 11,772.56

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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.