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Finding the Fourth Proportional to 24,176.88, 36,268.68 and 8,590.80

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Solution

The fourth proportional to 24,176.88, 36,268.68 and 8,590.80 is: 12,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176.88 : 36,268.68 = 8,590.80 : x
  2. Step 2: Convert to fraction form
    24,176.88/36,268.68 = 8,590.80/x
  3. Step 3: Cross multiply
    24,176.88x = 36,268.68 × 8,590.80
  4. Step 4: Simplify right side
    24,176.88x = 311,576,976.14
  5. Step 5: Solve for x
    x = 311,576,976.14/24,176.88
  6. Step 6: Final answer
    x = 12,887.39

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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.