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Finding the Fourth Proportional to 24,960.42, 37,447.17 and 11,812.50

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Solution

The fourth proportional to 24,960.42, 37,447.17 and 11,812.50 is: 17,721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,960.42 : 37,447.17 = 11,812.50 : x
  2. Step 2: Convert to fraction form
    24,960.42/37,447.17 = 11,812.50/x
  3. Step 3: Cross multiply
    24,960.42x = 37,447.17 × 11,812.50
  4. Step 4: Simplify right side
    24,960.42x = 442,344,695.63
  5. Step 5: Solve for x
    x = 442,344,695.63/24,960.42
  6. Step 6: Final answer
    x = 17,721.85

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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.