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Finding the Fourth Proportional to 28,320, 42,475.22 and 8,593.80

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Solution

The fourth proportional to 28,320, 42,475.22 and 8,593.80 is: 12,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,320 : 42,475.22 = 8,593.80 : x
  2. Step 2: Convert to fraction form
    28,320/42,475.22 = 8,593.80/x
  3. Step 3: Cross multiply
    28,320x = 42,475.22 × 8,593.80
  4. Step 4: Simplify right side
    28,320x = 365,023,545.64
  5. Step 5: Solve for x
    x = 365,023,545.64/28,320
  6. Step 6: Final answer
    x = 12,889.25

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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.