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Finding the Fourth Proportional to 15,821.20, 21,832.86 and 9,106.66

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Solution

The fourth proportional to 15,821.20, 21,832.86 and 9,106.66 is: 12,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.20 : 21,832.86 = 9,106.66 : x
  2. Step 2: Convert to fraction form
    15,821.20/21,832.86 = 9,106.66/x
  3. Step 3: Cross multiply
    15,821.20x = 21,832.86 × 9,106.66
  4. Step 4: Simplify right side
    15,821.20x = 198,824,432.85
  5. Step 5: Solve for x
    x = 198,824,432.85/15,821.20
  6. Step 6: Final answer
    x = 12,566.96

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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.