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Finding the Fourth Proportional to 24,829.29, 37,232.21 and 9,023.31

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Solution

The fourth proportional to 24,829.29, 37,232.21 and 9,023.31 is: 13,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,829.29 : 37,232.21 = 9,023.31 : x
  2. Step 2: Convert to fraction form
    24,829.29/37,232.21 = 9,023.31/x
  3. Step 3: Cross multiply
    24,829.29x = 37,232.21 × 9,023.31
  4. Step 4: Simplify right side
    24,829.29x = 335,957,795.37
  5. Step 5: Solve for x
    x = 335,957,795.37/24,829.29
  6. Step 6: Final answer
    x = 13,530.70

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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.