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Finding the Fourth Proportional to 12,229.41, 18,346.29 and 7,032.45

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Solution

The fourth proportional to 12,229.41, 18,346.29 and 7,032.45 is: 10,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.41 : 18,346.29 = 7,032.45 : x
  2. Step 2: Convert to fraction form
    12,229.41/18,346.29 = 7,032.45/x
  3. Step 3: Cross multiply
    12,229.41x = 18,346.29 × 7,032.45
  4. Step 4: Simplify right side
    12,229.41x = 129,019,367.11
  5. Step 5: Solve for x
    x = 129,019,367.11/12,229.41
  6. Step 6: Final answer
    x = 10,549.93

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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.