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Finding the Fourth Proportional to 24,191.74, 36,296.94 and 9,411.07

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Solution

The fourth proportional to 24,191.74, 36,296.94 and 9,411.07 is: 14,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,191.74 : 36,296.94 = 9,411.07 : x
  2. Step 2: Convert to fraction form
    24,191.74/36,296.94 = 9,411.07/x
  3. Step 3: Cross multiply
    24,191.74x = 36,296.94 × 9,411.07
  4. Step 4: Simplify right side
    24,191.74x = 341,593,043.13
  5. Step 5: Solve for x
    x = 341,593,043.13/24,191.74
  6. Step 6: Final answer
    x = 14,120.23

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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.