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Finding the Fourth Proportional to 19,533.66, 29,301.86 and 7,846.88

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Solution

The fourth proportional to 19,533.66, 29,301.86 and 7,846.88 is: 11,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.66 : 29,301.86 = 7,846.88 : x
  2. Step 2: Convert to fraction form
    19,533.66/29,301.86 = 7,846.88/x
  3. Step 3: Cross multiply
    19,533.66x = 29,301.86 × 7,846.88
  4. Step 4: Simplify right side
    19,533.66x = 229,928,179.20
  5. Step 5: Solve for x
    x = 229,928,179.20/19,533.66
  6. Step 6: Final answer
    x = 11,770.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.