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Finding the Fourth Proportional to 16,371.86, 22,587.25 and 10,709.84

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Solution

The fourth proportional to 16,371.86, 22,587.25 and 10,709.84 is: 14,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.86 : 22,587.25 = 10,709.84 : x
  2. Step 2: Convert to fraction form
    16,371.86/22,587.25 = 10,709.84/x
  3. Step 3: Cross multiply
    16,371.86x = 22,587.25 × 10,709.84
  4. Step 4: Simplify right side
    16,371.86x = 241,905,833.54
  5. Step 5: Solve for x
    x = 241,905,833.54/16,371.86
  6. Step 6: Final answer
    x = 14,775.71

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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.