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Finding the Fourth Proportional to 14,216.26, 21,320.91 and 6,314.42

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Solution

The fourth proportional to 14,216.26, 21,320.91 and 6,314.42 is: 9,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.26 : 21,320.91 = 6,314.42 : x
  2. Step 2: Convert to fraction form
    14,216.26/21,320.91 = 6,314.42/x
  3. Step 3: Cross multiply
    14,216.26x = 21,320.91 × 6,314.42
  4. Step 4: Simplify right side
    14,216.26x = 134,629,180.52
  5. Step 5: Solve for x
    x = 134,629,180.52/14,216.26
  6. Step 6: Final answer
    x = 9,470.08

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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.