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Finding the Fourth Proportional to 29,691.40, 44,499.30 and 12,141.40

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Solution

The fourth proportional to 29,691.40, 44,499.30 and 12,141.40 is: 18,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,691.40 : 44,499.30 = 12,141.40 : x
  2. Step 2: Convert to fraction form
    29,691.40/44,499.30 = 12,141.40/x
  3. Step 3: Cross multiply
    29,691.40x = 44,499.30 × 12,141.40
  4. Step 4: Simplify right side
    29,691.40x = 540,283,801.02
  5. Step 5: Solve for x
    x = 540,283,801.02/29,691.40
  6. Step 6: Final answer
    x = 18,196.64

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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.