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Finding the Fourth Proportional to 24,825.30, 37,234.35 and 7,293.30

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Solution

The fourth proportional to 24,825.30, 37,234.35 and 7,293.30 is: 10,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825.30 : 37,234.35 = 7,293.30 : x
  2. Step 2: Convert to fraction form
    24,825.30/37,234.35 = 7,293.30/x
  3. Step 3: Cross multiply
    24,825.30x = 37,234.35 × 7,293.30
  4. Step 4: Simplify right side
    24,825.30x = 271,561,284.86
  5. Step 5: Solve for x
    x = 271,561,284.86/24,825.30
  6. Step 6: Final answer
    x = 10,938.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.