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Finding the Fourth Proportional to 21,643.23, 32,468.85 and 6,855.87

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Solution

The fourth proportional to 21,643.23, 32,468.85 and 6,855.87 is: 10,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.23 : 32,468.85 = 6,855.87 : x
  2. Step 2: Convert to fraction form
    21,643.23/32,468.85 = 6,855.87/x
  3. Step 3: Cross multiply
    21,643.23x = 32,468.85 × 6,855.87
  4. Step 4: Simplify right side
    21,643.23x = 222,602,214.65
  5. Step 5: Solve for x
    x = 222,602,214.65/21,643.23
  6. Step 6: Final answer
    x = 10,285.07

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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.