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Finding the Fourth Proportional to 24,923.80, 37,384.80 and 10,132.30

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Solution

The fourth proportional to 24,923.80, 37,384.80 and 10,132.30 is: 15,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923.80 : 37,384.80 = 10,132.30 : x
  2. Step 2: Convert to fraction form
    24,923.80/37,384.80 = 10,132.30/x
  3. Step 3: Cross multiply
    24,923.80x = 37,384.80 × 10,132.30
  4. Step 4: Simplify right side
    24,923.80x = 378,794,009.04
  5. Step 5: Solve for x
    x = 378,794,009.04/24,923.80
  6. Step 6: Final answer
    x = 15,198.08

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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.