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Finding the Fourth Proportional to 15,765.91, 21,758.49 and 11,780.10

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Solution

The fourth proportional to 15,765.91, 21,758.49 and 11,780.10 is: 16,257.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.91 : 21,758.49 = 11,780.10 : x
  2. Step 2: Convert to fraction form
    15,765.91/21,758.49 = 11,780.10/x
  3. Step 3: Cross multiply
    15,765.91x = 21,758.49 × 11,780.10
  4. Step 4: Simplify right side
    15,765.91x = 256,317,188.05
  5. Step 5: Solve for x
    x = 256,317,188.05/15,765.91
  6. Step 6: Final answer
    x = 16,257.69

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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.