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Finding the Fourth Proportional to 16,412.96, 22,649.04 and 8,959.52

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Solution

The fourth proportional to 16,412.96, 22,649.04 and 8,959.52 is: 12,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.96 : 22,649.04 = 8,959.52 : x
  2. Step 2: Convert to fraction form
    16,412.96/22,649.04 = 8,959.52/x
  3. Step 3: Cross multiply
    16,412.96x = 22,649.04 × 8,959.52
  4. Step 4: Simplify right side
    16,412.96x = 202,924,526.86
  5. Step 5: Solve for x
    x = 202,924,526.86/16,412.96
  6. Step 6: Final answer
    x = 12,363.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.