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Finding the Fourth Proportional to 24,363, 36,544.68 and 5,895

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Solution

The fourth proportional to 24,363, 36,544.68 and 5,895 is: 8,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,363 : 36,544.68 = 5,895 : x
  2. Step 2: Convert to fraction form
    24,363/36,544.68 = 5,895/x
  3. Step 3: Cross multiply
    24,363x = 36,544.68 × 5,895
  4. Step 4: Simplify right side
    24,363x = 215,430,888.60
  5. Step 5: Solve for x
    x = 215,430,888.60/24,363
  6. Step 6: Final answer
    x = 8,842.54

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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.