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Finding the Fourth Proportional to 41,142.64, 61,717.56 and 11,560.72

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Solution

The fourth proportional to 41,142.64, 61,717.56 and 11,560.72 is: 17,342.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,142.64 : 61,717.56 = 11,560.72 : x
  2. Step 2: Convert to fraction form
    41,142.64/61,717.56 = 11,560.72/x
  3. Step 3: Cross multiply
    41,142.64x = 61,717.56 × 11,560.72
  4. Step 4: Simplify right side
    41,142.64x = 713,499,430.24
  5. Step 5: Solve for x
    x = 713,499,430.24/41,142.64
  6. Step 6: Final answer
    x = 17,342.09

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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.