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Finding the Fourth Proportional to 16,488.57, 22,753.26 and 9,774.84

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Solution

The fourth proportional to 16,488.57, 22,753.26 and 9,774.84 is: 13,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488.57 : 22,753.26 = 9,774.84 : x
  2. Step 2: Convert to fraction form
    16,488.57/22,753.26 = 9,774.84/x
  3. Step 3: Cross multiply
    16,488.57x = 22,753.26 × 9,774.84
  4. Step 4: Simplify right side
    16,488.57x = 222,409,475.98
  5. Step 5: Solve for x
    x = 222,409,475.98/16,488.57
  6. Step 6: Final answer
    x = 13,488.71

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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.