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Finding the Fourth Proportional to 24,209.40, 36,296.92 and 9,405.84

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Solution

The fourth proportional to 24,209.40, 36,296.92 and 9,405.84 is: 14,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.40 : 36,296.92 = 9,405.84 : x
  2. Step 2: Convert to fraction form
    24,209.40/36,296.92 = 9,405.84/x
  3. Step 3: Cross multiply
    24,209.40x = 36,296.92 × 9,405.84
  4. Step 4: Simplify right side
    24,209.40x = 341,403,022.01
  5. Step 5: Solve for x
    x = 341,403,022.01/24,209.40
  6. Step 6: Final answer
    x = 14,102.09

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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.