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Finding the Fourth Proportional to 20,663.52, 28,515.75 and 12,166

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Solution

The fourth proportional to 20,663.52, 28,515.75 and 12,166 is: 16,789.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,663.52 : 28,515.75 = 12,166 : x
  2. Step 2: Convert to fraction form
    20,663.52/28,515.75 = 12,166/x
  3. Step 3: Cross multiply
    20,663.52x = 28,515.75 × 12,166
  4. Step 4: Simplify right side
    20,663.52x = 346,922,614.50
  5. Step 5: Solve for x
    x = 346,922,614.50/20,663.52
  6. Step 6: Final answer
    x = 16,789.13

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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.