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Finding the Fourth Proportional to 19,735.12, 29,595.73 and 5,691.38

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Solution

The fourth proportional to 19,735.12, 29,595.73 and 5,691.38 is: 8,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.12 : 29,595.73 = 5,691.38 : x
  2. Step 2: Convert to fraction form
    19,735.12/29,595.73 = 5,691.38/x
  3. Step 3: Cross multiply
    19,735.12x = 29,595.73 × 5,691.38
  4. Step 4: Simplify right side
    19,735.12x = 168,440,545.81
  5. Step 5: Solve for x
    x = 168,440,545.81/19,735.12
  6. Step 6: Final answer
    x = 8,535.07

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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.