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Finding the Fourth Proportional to 21,674.88, 32,569.92 and 20,275.20

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Solution

The fourth proportional to 21,674.88, 32,569.92 and 20,275.20 is: 30,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.88 : 32,569.92 = 20,275.20 : x
  2. Step 2: Convert to fraction form
    21,674.88/32,569.92 = 20,275.20/x
  3. Step 3: Cross multiply
    21,674.88x = 32,569.92 × 20,275.20
  4. Step 4: Simplify right side
    21,674.88x = 660,361,641.98
  5. Step 5: Solve for x
    x = 660,361,641.98/21,674.88
  6. Step 6: Final answer
    x = 30,466.68

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1.5x scale

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.