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Finding the Fourth Proportional to 19,701.15, 29,535.09 and 9,165.73

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Solution

The fourth proportional to 19,701.15, 29,535.09 and 9,165.73 is: 13,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.15 : 29,535.09 = 9,165.73 : x
  2. Step 2: Convert to fraction form
    19,701.15/29,535.09 = 9,165.73/x
  3. Step 3: Cross multiply
    19,701.15x = 29,535.09 × 9,165.73
  4. Step 4: Simplify right side
    19,701.15x = 270,710,552.26
  5. Step 5: Solve for x
    x = 270,710,552.26/19,701.15
  6. Step 6: Final answer
    x = 13,740.85

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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.