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Finding the Fourth Proportional to 24,176.44, 36,265.92 and 6,645.88

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Solution

The fourth proportional to 24,176.44, 36,265.92 and 6,645.88 is: 9,969.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176.44 : 36,265.92 = 6,645.88 : x
  2. Step 2: Convert to fraction form
    24,176.44/36,265.92 = 6,645.88/x
  3. Step 3: Cross multiply
    24,176.44x = 36,265.92 × 6,645.88
  4. Step 4: Simplify right side
    24,176.44x = 241,018,952.41
  5. Step 5: Solve for x
    x = 241,018,952.41/24,176.44
  6. Step 6: Final answer
    x = 9,969.17

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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.