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Finding the Fourth Proportional to 24,253.58, 36,394.32 and 10,212.50

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Solution

The fourth proportional to 24,253.58, 36,394.32 and 10,212.50 is: 15,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,253.58 : 36,394.32 = 10,212.50 : x
  2. Step 2: Convert to fraction form
    24,253.58/36,394.32 = 10,212.50/x
  3. Step 3: Cross multiply
    24,253.58x = 36,394.32 × 10,212.50
  4. Step 4: Simplify right side
    24,253.58x = 371,676,993
  5. Step 5: Solve for x
    x = 371,676,993/24,253.58
  6. Step 6: Final answer
    x = 15,324.62

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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.