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Finding the Fourth Proportional to 15,770.91, 21,765.39 and 11,785.10

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Solution

The fourth proportional to 15,770.91, 21,765.39 and 11,785.10 is: 16,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.91 : 21,765.39 = 11,785.10 : x
  2. Step 2: Convert to fraction form
    15,770.91/21,765.39 = 11,785.10/x
  3. Step 3: Cross multiply
    15,770.91x = 21,765.39 × 11,785.10
  4. Step 4: Simplify right side
    15,770.91x = 256,507,297.69
  5. Step 5: Solve for x
    x = 256,507,297.69/15,770.91
  6. Step 6: Final answer
    x = 16,264.58

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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.