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Finding the Fourth Proportional to 24,284.13, 36,427.65 and 7,644.70

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Solution

The fourth proportional to 24,284.13, 36,427.65 and 7,644.70 is: 11,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284.13 : 36,427.65 = 7,644.70 : x
  2. Step 2: Convert to fraction form
    24,284.13/36,427.65 = 7,644.70/x
  3. Step 3: Cross multiply
    24,284.13x = 36,427.65 × 7,644.70
  4. Step 4: Simplify right side
    24,284.13x = 278,478,455.96
  5. Step 5: Solve for x
    x = 278,478,455.96/24,284.13
  6. Step 6: Final answer
    x = 11,467.51

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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.