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Finding the Fourth Proportional to 21,378.80, 32,067.48 and 9,683.84

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Solution

The fourth proportional to 21,378.80, 32,067.48 and 9,683.84 is: 14,525.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.80 : 32,067.48 = 9,683.84 : x
  2. Step 2: Convert to fraction form
    21,378.80/32,067.48 = 9,683.84/x
  3. Step 3: Cross multiply
    21,378.80x = 32,067.48 × 9,683.84
  4. Step 4: Simplify right side
    21,378.80x = 310,536,345.52
  5. Step 5: Solve for x
    x = 310,536,345.52/21,378.80
  6. Step 6: Final answer
    x = 14,525.43

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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.