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Finding the Fourth Proportional to 24,269.52, 36,414.48 and 13,184

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Solution

The fourth proportional to 24,269.52, 36,414.48 and 13,184 is: 19,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.52 : 36,414.48 = 13,184 : x
  2. Step 2: Convert to fraction form
    24,269.52/36,414.48 = 13,184/x
  3. Step 3: Cross multiply
    24,269.52x = 36,414.48 × 13,184
  4. Step 4: Simplify right side
    24,269.52x = 480,088,504.32
  5. Step 5: Solve for x
    x = 480,088,504.32/24,269.52
  6. Step 6: Final answer
    x = 19,781.54

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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.