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Finding the Fourth Proportional to 16,422.89, 22,663.80 and 9,349.34

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Solution

The fourth proportional to 16,422.89, 22,663.80 and 9,349.34 is: 12,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,422.89 : 22,663.80 = 9,349.34 : x
  2. Step 2: Convert to fraction form
    16,422.89/22,663.80 = 9,349.34/x
  3. Step 3: Cross multiply
    16,422.89x = 22,663.80 × 9,349.34
  4. Step 4: Simplify right side
    16,422.89x = 211,891,458.57
  5. Step 5: Solve for x
    x = 211,891,458.57/16,422.89
  6. Step 6: Final answer
    x = 12,902.21

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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.