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Finding the Fourth Proportional to 15,877.95, 21,906.52 and 9,162.69

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Solution

The fourth proportional to 15,877.95, 21,906.52 and 9,162.69 is: 12,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.95 : 21,906.52 = 9,162.69 : x
  2. Step 2: Convert to fraction form
    15,877.95/21,906.52 = 9,162.69/x
  3. Step 3: Cross multiply
    15,877.95x = 21,906.52 × 9,162.69
  4. Step 4: Simplify right side
    15,877.95x = 200,722,651.74
  5. Step 5: Solve for x
    x = 200,722,651.74/15,877.95
  6. Step 6: Final answer
    x = 12,641.60

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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.