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Finding the Fourth Proportional to 24,829.22, 37,232.12 and 9,023.14

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Solution

The fourth proportional to 24,829.22, 37,232.12 and 9,023.14 is: 13,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.22 : 37,232.12 = 9,023.14 : x
  2. Step 2: Convert to fraction form
    24,829.22/37,232.12 = 9,023.14/x
  3. Step 3: Cross multiply
    24,829.22x = 37,232.12 × 9,023.14
  4. Step 4: Simplify right side
    24,829.22x = 335,950,560.73
  5. Step 5: Solve for x
    x = 335,950,560.73/24,829.22
  6. Step 6: Final answer
    x = 13,530.45

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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.