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Finding the Fourth Proportional to 19,648.12, 29,472.18 and 6,496.96

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Solution

The fourth proportional to 19,648.12, 29,472.18 and 6,496.96 is: 9,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.12 : 29,472.18 = 6,496.96 : x
  2. Step 2: Convert to fraction form
    19,648.12/29,472.18 = 6,496.96/x
  3. Step 3: Cross multiply
    19,648.12x = 29,472.18 × 6,496.96
  4. Step 4: Simplify right side
    19,648.12x = 191,479,574.57
  5. Step 5: Solve for x
    x = 191,479,574.57/19,648.12
  6. Step 6: Final answer
    x = 9,745.44

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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.