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Finding the Fourth Proportional to 19,660.35, 29,493.42 and 6,509.79

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Solution

The fourth proportional to 19,660.35, 29,493.42 and 6,509.79 is: 9,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,660.35 : 29,493.42 = 6,509.79 : x
  2. Step 2: Convert to fraction form
    19,660.35/29,493.42 = 6,509.79/x
  3. Step 3: Cross multiply
    19,660.35x = 29,493.42 × 6,509.79
  4. Step 4: Simplify right side
    19,660.35x = 191,995,970.58
  5. Step 5: Solve for x
    x = 191,995,970.58/19,660.35
  6. Step 6: Final answer
    x = 9,765.64

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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.