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Finding the Fourth Proportional to 24,820.40, 37,223.40 and 9,023.60

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Solution

The fourth proportional to 24,820.40, 37,223.40 and 9,023.60 is: 13,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.40 : 37,223.40 = 9,023.60 : x
  2. Step 2: Convert to fraction form
    24,820.40/37,223.40 = 9,023.60/x
  3. Step 3: Cross multiply
    24,820.40x = 37,223.40 × 9,023.60
  4. Step 4: Simplify right side
    24,820.40x = 335,889,072.24
  5. Step 5: Solve for x
    x = 335,889,072.24/24,820.40
  6. Step 6: Final answer
    x = 13,532.78

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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.