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Finding the Fourth Proportional to 24,269.82, 36,421.20 and 9,478.68

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Solution

The fourth proportional to 24,269.82, 36,421.20 and 9,478.68 is: 14,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269.82 : 36,421.20 = 9,478.68 : x
  2. Step 2: Convert to fraction form
    24,269.82/36,421.20 = 9,478.68/x
  3. Step 3: Cross multiply
    24,269.82x = 36,421.20 × 9,478.68
  4. Step 4: Simplify right side
    24,269.82x = 345,224,900.02
  5. Step 5: Solve for x
    x = 345,224,900.02/24,269.82
  6. Step 6: Final answer
    x = 14,224.45

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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.