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Finding the Fourth Proportional to 24,833.12, 37,249.65 and 7,302.94

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Solution

The fourth proportional to 24,833.12, 37,249.65 and 7,302.94 is: 10,954.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,833.12 : 37,249.65 = 7,302.94 : x
  2. Step 2: Convert to fraction form
    24,833.12/37,249.65 = 7,302.94/x
  3. Step 3: Cross multiply
    24,833.12x = 37,249.65 × 7,302.94
  4. Step 4: Simplify right side
    24,833.12x = 272,031,865.85
  5. Step 5: Solve for x
    x = 272,031,865.85/24,833.12
  6. Step 6: Final answer
    x = 10,954.40

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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.