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Finding the Fourth Proportional to 24,397.40, 36,596.12 and 6,867.24

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Solution

The fourth proportional to 24,397.40, 36,596.12 and 6,867.24 is: 10,300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,397.40 : 36,596.12 = 6,867.24 : x
  2. Step 2: Convert to fraction form
    24,397.40/36,596.12 = 6,867.24/x
  3. Step 3: Cross multiply
    24,397.40x = 36,596.12 × 6,867.24
  4. Step 4: Simplify right side
    24,397.40x = 251,314,339.11
  5. Step 5: Solve for x
    x = 251,314,339.11/24,397.40
  6. Step 6: Final answer
    x = 10,300.87

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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.