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Finding the Fourth Proportional to 24,189.89, 36,298.68 and 9,396.90

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Solution

The fourth proportional to 24,189.89, 36,298.68 and 9,396.90 is: 14,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.89 : 36,298.68 = 9,396.90 : x
  2. Step 2: Convert to fraction form
    24,189.89/36,298.68 = 9,396.90/x
  3. Step 3: Cross multiply
    24,189.89x = 36,298.68 × 9,396.90
  4. Step 4: Simplify right side
    24,189.89x = 341,095,066.09
  5. Step 5: Solve for x
    x = 341,095,066.09/24,189.89
  6. Step 6: Final answer
    x = 14,100.73

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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.