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Finding the Fourth Proportional to 23,797.49, 32,839.71 and 13,188.11

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Solution

The fourth proportional to 23,797.49, 32,839.71 and 13,188.11 is: 18,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.49 : 32,839.71 = 13,188.11 : x
  2. Step 2: Convert to fraction form
    23,797.49/32,839.71 = 13,188.11/x
  3. Step 3: Cross multiply
    23,797.49x = 32,839.71 × 13,188.11
  4. Step 4: Simplify right side
    23,797.49x = 433,093,707.85
  5. Step 5: Solve for x
    x = 433,093,707.85/23,797.49
  6. Step 6: Final answer
    x = 18,199.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.