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Finding the Fourth Proportional to 24,710.40, 37,022.40 and 20,822.40

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Solution

The fourth proportional to 24,710.40, 37,022.40 and 20,822.40 is: 31,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710.40 : 37,022.40 = 20,822.40 : x
  2. Step 2: Convert to fraction form
    24,710.40/37,022.40 = 20,822.40/x
  3. Step 3: Cross multiply
    24,710.40x = 37,022.40 × 20,822.40
  4. Step 4: Simplify right side
    24,710.40x = 770,895,221.76
  5. Step 5: Solve for x
    x = 770,895,221.76/24,710.40
  6. Step 6: Final answer
    x = 31,197.20

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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.