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Finding the Fourth Proportional to 11,141, 16,718.44 and 10,102.89

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Solution

The fourth proportional to 11,141, 16,718.44 and 10,102.89 is: 15,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141 : 16,718.44 = 10,102.89 : x
  2. Step 2: Convert to fraction form
    11,141/16,718.44 = 10,102.89/x
  3. Step 3: Cross multiply
    11,141x = 16,718.44 × 10,102.89
  4. Step 4: Simplify right side
    11,141x = 168,904,560.29
  5. Step 5: Solve for x
    x = 168,904,560.29/11,141
  6. Step 6: Final answer
    x = 15,160.63

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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.