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Finding the Fourth Proportional to 19,698.14, 29,552.68 and 8,305.09

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Solution

The fourth proportional to 19,698.14, 29,552.68 and 8,305.09 is: 12,459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698.14 : 29,552.68 = 8,305.09 : x
  2. Step 2: Convert to fraction form
    19,698.14/29,552.68 = 8,305.09/x
  3. Step 3: Cross multiply
    19,698.14x = 29,552.68 × 8,305.09
  4. Step 4: Simplify right side
    19,698.14x = 245,437,603.64
  5. Step 5: Solve for x
    x = 245,437,603.64/19,698.14
  6. Step 6: Final answer
    x = 12,459.94

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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.