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Finding the Fourth Proportional to 24,521.92, 36,778 and 6,987.04

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Solution

The fourth proportional to 24,521.92, 36,778 and 6,987.04 is: 10,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,521.92 : 36,778 = 6,987.04 : x
  2. Step 2: Convert to fraction form
    24,521.92/36,778 = 6,987.04/x
  3. Step 3: Cross multiply
    24,521.92x = 36,778 × 6,987.04
  4. Step 4: Simplify right side
    24,521.92x = 256,969,357.12
  5. Step 5: Solve for x
    x = 256,969,357.12/24,521.92
  6. Step 6: Final answer
    x = 10,479.17

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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.