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Finding the Fourth Proportional to 24,282.21, 36,420.71 and 6,514.65

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Solution

The fourth proportional to 24,282.21, 36,420.71 and 6,514.65 is: 9,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,282.21 : 36,420.71 = 6,514.65 : x
  2. Step 2: Convert to fraction form
    24,282.21/36,420.71 = 6,514.65/x
  3. Step 3: Cross multiply
    24,282.21x = 36,420.71 × 6,514.65
  4. Step 4: Simplify right side
    24,282.21x = 237,268,145.83
  5. Step 5: Solve for x
    x = 237,268,145.83/24,282.21
  6. Step 6: Final answer
    x = 9,771.27

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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.