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Finding the Fourth Proportional to 14,375.92, 21,566.34 and 6,585.40

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Solution

The fourth proportional to 14,375.92, 21,566.34 and 6,585.40 is: 9,879.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,375.92 : 21,566.34 = 6,585.40 : x
  2. Step 2: Convert to fraction form
    14,375.92/21,566.34 = 6,585.40/x
  3. Step 3: Cross multiply
    14,375.92x = 21,566.34 × 6,585.40
  4. Step 4: Simplify right side
    14,375.92x = 142,022,975.44
  5. Step 5: Solve for x
    x = 142,022,975.44/14,375.92
  6. Step 6: Final answer
    x = 9,879.23

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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.