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Finding the Fourth Proportional to 21,378.61, 32,067.19 and 9,683.65

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Solution

The fourth proportional to 21,378.61, 32,067.19 and 9,683.65 is: 14,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,378.61 : 32,067.19 = 9,683.65 : x
  2. Step 2: Convert to fraction form
    21,378.61/32,067.19 = 9,683.65/x
  3. Step 3: Cross multiply
    21,378.61x = 32,067.19 × 9,683.65
  4. Step 4: Simplify right side
    21,378.61x = 310,527,444.44
  5. Step 5: Solve for x
    x = 310,527,444.44/21,378.61
  6. Step 6: Final answer
    x = 14,525.15

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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.