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Finding the Fourth Proportional to 19,682.65, 29,521.20 and 5,643.87

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Solution

The fourth proportional to 19,682.65, 29,521.20 and 5,643.87 is: 8,465.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.65 : 29,521.20 = 5,643.87 : x
  2. Step 2: Convert to fraction form
    19,682.65/29,521.20 = 5,643.87/x
  3. Step 3: Cross multiply
    19,682.65x = 29,521.20 × 5,643.87
  4. Step 4: Simplify right side
    19,682.65x = 166,613,815.04
  5. Step 5: Solve for x
    x = 166,613,815.04/19,682.65
  6. Step 6: Final answer
    x = 8,465.01

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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.