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Finding the Fourth Proportional to 23,886.38, 35,829.65 and 7,246.55

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Solution

The fourth proportional to 23,886.38, 35,829.65 and 7,246.55 is: 10,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,886.38 : 35,829.65 = 7,246.55 : x
  2. Step 2: Convert to fraction form
    23,886.38/35,829.65 = 7,246.55/x
  3. Step 3: Cross multiply
    23,886.38x = 35,829.65 × 7,246.55
  4. Step 4: Simplify right side
    23,886.38x = 259,641,134.83
  5. Step 5: Solve for x
    x = 259,641,134.83/23,886.38
  6. Step 6: Final answer
    x = 10,869.84

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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.