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Finding the Fourth Proportional to 23,456.64, 35,184.96 and 11,141.76

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Solution

The fourth proportional to 23,456.64, 35,184.96 and 11,141.76 is: 16,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.64 : 35,184.96 = 11,141.76 : x
  2. Step 2: Convert to fraction form
    23,456.64/35,184.96 = 11,141.76/x
  3. Step 3: Cross multiply
    23,456.64x = 35,184.96 × 11,141.76
  4. Step 4: Simplify right side
    23,456.64x = 392,022,379.93
  5. Step 5: Solve for x
    x = 392,022,379.93/23,456.64
  6. Step 6: Final answer
    x = 16,712.64

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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.