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Finding the Fourth Proportional to 24,974.52, 37,458 and 9,388.50

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Solution

The fourth proportional to 24,974.52, 37,458 and 9,388.50 is: 14,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,974.52 : 37,458 = 9,388.50 : x
  2. Step 2: Convert to fraction form
    24,974.52/37,458 = 9,388.50/x
  3. Step 3: Cross multiply
    24,974.52x = 37,458 × 9,388.50
  4. Step 4: Simplify right side
    24,974.52x = 351,674,433
  5. Step 5: Solve for x
    x = 351,674,433/24,974.52
  6. Step 6: Final answer
    x = 14,081.33

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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.