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Finding the Fourth Proportional to 24,328.92, 36,498.84 and 7,689.92

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Solution

The fourth proportional to 24,328.92, 36,498.84 and 7,689.92 is: 11,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,328.92 : 36,498.84 = 7,689.92 : x
  2. Step 2: Convert to fraction form
    24,328.92/36,498.84 = 7,689.92/x
  3. Step 3: Cross multiply
    24,328.92x = 36,498.84 × 7,689.92
  4. Step 4: Simplify right side
    24,328.92x = 280,673,159.69
  5. Step 5: Solve for x
    x = 280,673,159.69/24,328.92
  6. Step 6: Final answer
    x = 11,536.61

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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.