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Finding the Fourth Proportional to 21,812.80, 32,719.20 and 10,148.80

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Solution

The fourth proportional to 21,812.80, 32,719.20 and 10,148.80 is: 15,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.80 : 32,719.20 = 10,148.80 : x
  2. Step 2: Convert to fraction form
    21,812.80/32,719.20 = 10,148.80/x
  3. Step 3: Cross multiply
    21,812.80x = 32,719.20 × 10,148.80
  4. Step 4: Simplify right side
    21,812.80x = 332,060,616.96
  5. Step 5: Solve for x
    x = 332,060,616.96/21,812.80
  6. Step 6: Final answer
    x = 15,223.20

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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.