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Finding the Fourth Proportional to 15,982.34, 22,055.76 and 8,909.22

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Solution

The fourth proportional to 15,982.34, 22,055.76 and 8,909.22 is: 12,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,982.34 : 22,055.76 = 8,909.22 : x
  2. Step 2: Convert to fraction form
    15,982.34/22,055.76 = 8,909.22/x
  3. Step 3: Cross multiply
    15,982.34x = 22,055.76 × 8,909.22
  4. Step 4: Simplify right side
    15,982.34x = 196,499,618.11
  5. Step 5: Solve for x
    x = 196,499,618.11/15,982.34
  6. Step 6: Final answer
    x = 12,294.80

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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.