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Finding the Fourth Proportional to 24,381.09, 36,571.63 and 8,582.40

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Solution

The fourth proportional to 24,381.09, 36,571.63 and 8,582.40 is: 12,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.09 : 36,571.63 = 8,582.40 : x
  2. Step 2: Convert to fraction form
    24,381.09/36,571.63 = 8,582.40/x
  3. Step 3: Cross multiply
    24,381.09x = 36,571.63 × 8,582.40
  4. Step 4: Simplify right side
    24,381.09x = 313,872,357.31
  5. Step 5: Solve for x
    x = 313,872,357.31/24,381.09
  6. Step 6: Final answer
    x = 12,873.60

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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.