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Finding the Fourth Proportional to 24,530.69, 36,782.18 and 8,512.71

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Solution

The fourth proportional to 24,530.69, 36,782.18 and 8,512.71 is: 12,764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,530.69 : 36,782.18 = 8,512.71 : x
  2. Step 2: Convert to fraction form
    24,530.69/36,782.18 = 8,512.71/x
  3. Step 3: Cross multiply
    24,530.69x = 36,782.18 × 8,512.71
  4. Step 4: Simplify right side
    24,530.69x = 313,116,031.51
  5. Step 5: Solve for x
    x = 313,116,031.51/24,530.69
  6. Step 6: Final answer
    x = 12,764.26

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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.