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Finding the Fourth Proportional to 23,806.48, 32,854.86 and 13,199.50

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Solution

The fourth proportional to 23,806.48, 32,854.86 and 13,199.50 is: 18,216.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.48 : 32,854.86 = 13,199.50 : x
  2. Step 2: Convert to fraction form
    23,806.48/32,854.86 = 13,199.50/x
  3. Step 3: Cross multiply
    23,806.48x = 32,854.86 × 13,199.50
  4. Step 4: Simplify right side
    23,806.48x = 433,667,724.57
  5. Step 5: Solve for x
    x = 433,667,724.57/23,806.48
  6. Step 6: Final answer
    x = 18,216.37

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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.