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Finding the Fourth Proportional to 13,141, 18,134.58 and 8,431.66

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Solution

The fourth proportional to 13,141, 18,134.58 and 8,431.66 is: 11,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141 : 18,134.58 = 8,431.66 : x
  2. Step 2: Convert to fraction form
    13,141/18,134.58 = 8,431.66/x
  3. Step 3: Cross multiply
    13,141x = 18,134.58 × 8,431.66
  4. Step 4: Simplify right side
    13,141x = 152,904,612.80
  5. Step 5: Solve for x
    x = 152,904,612.80/13,141
  6. Step 6: Final answer
    x = 11,635.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.