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Finding the Fourth Proportional to 21,946.50, 32,919.75 and 6,364.26

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Solution

The fourth proportional to 21,946.50, 32,919.75 and 6,364.26 is: 9,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,946.50 : 32,919.75 = 6,364.26 : x
  2. Step 2: Convert to fraction form
    21,946.50/32,919.75 = 6,364.26/x
  3. Step 3: Cross multiply
    21,946.50x = 32,919.75 × 6,364.26
  4. Step 4: Simplify right side
    21,946.50x = 209,509,848.14
  5. Step 5: Solve for x
    x = 209,509,848.14/21,946.50
  6. Step 6: Final answer
    x = 9,546.39

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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.