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Finding the Fourth Proportional to 13,575.71, 20,456.05 and 11,164.55

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Solution

The fourth proportional to 13,575.71, 20,456.05 and 11,164.55 is: 16,822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.71 : 20,456.05 = 11,164.55 : x
  2. Step 2: Convert to fraction form
    13,575.71/20,456.05 = 11,164.55/x
  3. Step 3: Cross multiply
    13,575.71x = 20,456.05 × 11,164.55
  4. Step 4: Simplify right side
    13,575.71x = 228,382,462.84
  5. Step 5: Solve for x
    x = 228,382,462.84/13,575.71
  6. Step 6: Final answer
    x = 16,822.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.