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Finding the Fourth Proportional to 24,870.20, 37,311.90 and 10,824.20

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Solution

The fourth proportional to 24,870.20, 37,311.90 and 10,824.20 is: 16,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.20 : 37,311.90 = 10,824.20 : x
  2. Step 2: Convert to fraction form
    24,870.20/37,311.90 = 10,824.20/x
  3. Step 3: Cross multiply
    24,870.20x = 37,311.90 × 10,824.20
  4. Step 4: Simplify right side
    24,870.20x = 403,871,467.98
  5. Step 5: Solve for x
    x = 403,871,467.98/24,870.20
  6. Step 6: Final answer
    x = 16,239.17

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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.