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Finding the Fourth Proportional to 14,642.74, 20,205.75 and 8,592.34

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Solution

The fourth proportional to 14,642.74, 20,205.75 and 8,592.34 is: 11,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.74 : 20,205.75 = 8,592.34 : x
  2. Step 2: Convert to fraction form
    14,642.74/20,205.75 = 8,592.34/x
  3. Step 3: Cross multiply
    14,642.74x = 20,205.75 × 8,592.34
  4. Step 4: Simplify right side
    14,642.74x = 173,614,673.96
  5. Step 5: Solve for x
    x = 173,614,673.96/14,642.74
  6. Step 6: Final answer
    x = 11,856.71

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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.