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Finding the Fourth Proportional to 15,943.86, 21,999.20 and 9,229.08

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Solution

The fourth proportional to 15,943.86, 21,999.20 and 9,229.08 is: 12,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,943.86 : 21,999.20 = 9,229.08 : x
  2. Step 2: Convert to fraction form
    15,943.86/21,999.20 = 9,229.08/x
  3. Step 3: Cross multiply
    15,943.86x = 21,999.20 × 9,229.08
  4. Step 4: Simplify right side
    15,943.86x = 203,032,376.74
  5. Step 5: Solve for x
    x = 203,032,376.74/15,943.86
  6. Step 6: Final answer
    x = 12,734.20

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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.