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Finding the Fourth Proportional to 24,112.94, 36,175.02 and 7,472.10

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Solution

The fourth proportional to 24,112.94, 36,175.02 and 7,472.10 is: 11,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,112.94 : 36,175.02 = 7,472.10 : x
  2. Step 2: Convert to fraction form
    24,112.94/36,175.02 = 7,472.10/x
  3. Step 3: Cross multiply
    24,112.94x = 36,175.02 × 7,472.10
  4. Step 4: Simplify right side
    24,112.94x = 270,303,366.94
  5. Step 5: Solve for x
    x = 270,303,366.94/24,112.94
  6. Step 6: Final answer
    x = 11,209.89

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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.