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Finding the Fourth Proportional to 24,878.64, 37,324.80 and 7,348.46

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Solution

The fourth proportional to 24,878.64, 37,324.80 and 7,348.46 is: 11,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,878.64 : 37,324.80 = 7,348.46 : x
  2. Step 2: Convert to fraction form
    24,878.64/37,324.80 = 7,348.46/x
  3. Step 3: Cross multiply
    24,878.64x = 37,324.80 × 7,348.46
  4. Step 4: Simplify right side
    24,878.64x = 274,279,799.81
  5. Step 5: Solve for x
    x = 274,279,799.81/24,878.64
  6. Step 6: Final answer
    x = 11,024.71

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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.