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Finding the Fourth Proportional to 11,641.95, 16,025.31 and 10,147.26

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Solution

The fourth proportional to 11,641.95, 16,025.31 and 10,147.26 is: 13,967.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.95 : 16,025.31 = 10,147.26 : x
  2. Step 2: Convert to fraction form
    11,641.95/16,025.31 = 10,147.26/x
  3. Step 3: Cross multiply
    11,641.95x = 16,025.31 × 10,147.26
  4. Step 4: Simplify right side
    11,641.95x = 162,612,987.15
  5. Step 5: Solve for x
    x = 162,612,987.15/11,641.95
  6. Step 6: Final answer
    x = 13,967.85

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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.