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Finding the Fourth Proportional to 21,922.16, 32,878.44 and 6,336.40

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Solution

The fourth proportional to 21,922.16, 32,878.44 and 6,336.40 is: 9,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922.16 : 32,878.44 = 6,336.40 : x
  2. Step 2: Convert to fraction form
    21,922.16/32,878.44 = 6,336.40/x
  3. Step 3: Cross multiply
    21,922.16x = 32,878.44 × 6,336.40
  4. Step 4: Simplify right side
    21,922.16x = 208,330,947.22
  5. Step 5: Solve for x
    x = 208,330,947.22/21,922.16
  6. Step 6: Final answer
    x = 9,503.21

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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.