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Finding the Fourth Proportional to 23,894.67, 32,975.49 and 13,140.37

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Solution

The fourth proportional to 23,894.67, 32,975.49 and 13,140.37 is: 18,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.67 : 32,975.49 = 13,140.37 : x
  2. Step 2: Convert to fraction form
    23,894.67/32,975.49 = 13,140.37/x
  3. Step 3: Cross multiply
    23,894.67x = 32,975.49 × 13,140.37
  4. Step 4: Simplify right side
    23,894.67x = 433,310,139.53
  5. Step 5: Solve for x
    x = 433,310,139.53/23,894.67
  6. Step 6: Final answer
    x = 18,134.18

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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.