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Finding the Fourth Proportional to 24,187.65, 36,274.56 and 9,393.40

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Solution

The fourth proportional to 24,187.65, 36,274.56 and 9,393.40 is: 14,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.65 : 36,274.56 = 9,393.40 : x
  2. Step 2: Convert to fraction form
    24,187.65/36,274.56 = 9,393.40/x
  3. Step 3: Cross multiply
    24,187.65x = 36,274.56 × 9,393.40
  4. Step 4: Simplify right side
    24,187.65x = 340,741,451.90
  5. Step 5: Solve for x
    x = 340,741,451.90/24,187.65
  6. Step 6: Final answer
    x = 14,087.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.