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Finding the Fourth Proportional to 24,876.72, 37,301.04 and 9,288

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Solution

The fourth proportional to 24,876.72, 37,301.04 and 9,288 is: 13,926.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876.72 : 37,301.04 = 9,288 : x
  2. Step 2: Convert to fraction form
    24,876.72/37,301.04 = 9,288/x
  3. Step 3: Cross multiply
    24,876.72x = 37,301.04 × 9,288
  4. Step 4: Simplify right side
    24,876.72x = 346,452,059.52
  5. Step 5: Solve for x
    x = 346,452,059.52/24,876.72
  6. Step 6: Final answer
    x = 13,926.76

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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.