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Finding the Fourth Proportional to 24,122.70, 36,182.70 and 7,482.60

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Solution

The fourth proportional to 24,122.70, 36,182.70 and 7,482.60 is: 11,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122.70 : 36,182.70 = 7,482.60 : x
  2. Step 2: Convert to fraction form
    24,122.70/36,182.70 = 7,482.60/x
  3. Step 3: Cross multiply
    24,122.70x = 36,182.70 × 7,482.60
  4. Step 4: Simplify right side
    24,122.70x = 270,740,671.02
  5. Step 5: Solve for x
    x = 270,740,671.02/24,122.70
  6. Step 6: Final answer
    x = 11,223.48

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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.