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Finding the Fourth Proportional to 21,630, 32,434.38 and 8,478.84

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Solution

The fourth proportional to 21,630, 32,434.38 and 8,478.84 is: 12,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,630 : 32,434.38 = 8,478.84 : x
  2. Step 2: Convert to fraction form
    21,630/32,434.38 = 8,478.84/x
  3. Step 3: Cross multiply
    21,630x = 32,434.38 × 8,478.84
  4. Step 4: Simplify right side
    21,630x = 275,005,918.52
  5. Step 5: Solve for x
    x = 275,005,918.52/21,630
  6. Step 6: Final answer
    x = 12,714.10

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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.