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Finding the Fourth Proportional to 24,812.80, 37,224.80 and 10,021.76

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Solution

The fourth proportional to 24,812.80, 37,224.80 and 10,021.76 is: 15,034.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.80 : 37,224.80 = 10,021.76 : x
  2. Step 2: Convert to fraction form
    24,812.80/37,224.80 = 10,021.76/x
  3. Step 3: Cross multiply
    24,812.80x = 37,224.80 × 10,021.76
  4. Step 4: Simplify right side
    24,812.80x = 373,058,011.65
  5. Step 5: Solve for x
    x = 373,058,011.65/24,812.80
  6. Step 6: Final answer
    x = 15,034.90

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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.