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Finding the Fourth Proportional to 16,286.50, 22,475.62 and 9,572.28

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Solution

The fourth proportional to 16,286.50, 22,475.62 and 9,572.28 is: 13,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.50 : 22,475.62 = 9,572.28 : x
  2. Step 2: Convert to fraction form
    16,286.50/22,475.62 = 9,572.28/x
  3. Step 3: Cross multiply
    16,286.50x = 22,475.62 × 9,572.28
  4. Step 4: Simplify right side
    16,286.50x = 215,142,927.81
  5. Step 5: Solve for x
    x = 215,142,927.81/16,286.50
  6. Step 6: Final answer
    x = 13,209.89

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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.