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Finding the Fourth Proportional to 19,648.45, 29,468.44 and 6,497.83

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Solution

The fourth proportional to 19,648.45, 29,468.44 and 6,497.83 is: 9,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.45 : 29,468.44 = 6,497.83 : x
  2. Step 2: Convert to fraction form
    19,648.45/29,468.44 = 6,497.83/x
  3. Step 3: Cross multiply
    19,648.45x = 29,468.44 × 6,497.83
  4. Step 4: Simplify right side
    19,648.45x = 191,480,913.49
  5. Step 5: Solve for x
    x = 191,480,913.49/19,648.45
  6. Step 6: Final answer
    x = 9,745.34

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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.