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Finding the Fourth Proportional to 13,566.88, 18,722.51 and 7,821.16

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Solution

The fourth proportional to 13,566.88, 18,722.51 and 7,821.16 is: 10,793.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566.88 : 18,722.51 = 7,821.16 : x
  2. Step 2: Convert to fraction form
    13,566.88/18,722.51 = 7,821.16/x
  3. Step 3: Cross multiply
    13,566.88x = 18,722.51 × 7,821.16
  4. Step 4: Simplify right side
    13,566.88x = 146,431,689.73
  5. Step 5: Solve for x
    x = 146,431,689.73/13,566.88
  6. Step 6: Final answer
    x = 10,793.32

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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.