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Finding the Fourth Proportional to 22,684.34, 34,026.56 and 6,889.49

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Solution

The fourth proportional to 22,684.34, 34,026.56 and 6,889.49 is: 10,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.34 : 34,026.56 = 6,889.49 : x
  2. Step 2: Convert to fraction form
    22,684.34/34,026.56 = 6,889.49/x
  3. Step 3: Cross multiply
    22,684.34x = 34,026.56 × 6,889.49
  4. Step 4: Simplify right side
    22,684.34x = 234,425,574.33
  5. Step 5: Solve for x
    x = 234,425,574.33/22,684.34
  6. Step 6: Final answer
    x = 10,334.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.