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Finding the Fourth Proportional to 24,170.95, 36,257.41 and 11,514.20

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Solution

The fourth proportional to 24,170.95, 36,257.41 and 11,514.20 is: 17,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,170.95 : 36,257.41 = 11,514.20 : x
  2. Step 2: Convert to fraction form
    24,170.95/36,257.41 = 11,514.20/x
  3. Step 3: Cross multiply
    24,170.95x = 36,257.41 × 11,514.20
  4. Step 4: Simplify right side
    24,170.95x = 417,475,012.65
  5. Step 5: Solve for x
    x = 417,475,012.65/24,170.95
  6. Step 6: Final answer
    x = 17,271.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.