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Finding the Fourth Proportional to 19,701.52, 29,535.65 and 9,166.10

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Solution

The fourth proportional to 19,701.52, 29,535.65 and 9,166.10 is: 13,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,701.52 : 29,535.65 = 9,166.10 : x
  2. Step 2: Convert to fraction form
    19,701.52/29,535.65 = 9,166.10/x
  3. Step 3: Cross multiply
    19,701.52x = 29,535.65 × 9,166.10
  4. Step 4: Simplify right side
    19,701.52x = 270,726,783.85
  5. Step 5: Solve for x
    x = 270,726,783.85/19,701.52
  6. Step 6: Final answer
    x = 13,741.42

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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.