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Finding the Fourth Proportional to 21,962.50, 32,947.80 and 8,816.20

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Solution

The fourth proportional to 21,962.50, 32,947.80 and 8,816.20 is: 13,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.50 : 32,947.80 = 8,816.20 : x
  2. Step 2: Convert to fraction form
    21,962.50/32,947.80 = 8,816.20/x
  3. Step 3: Cross multiply
    21,962.50x = 32,947.80 × 8,816.20
  4. Step 4: Simplify right side
    21,962.50x = 290,474,394.36
  5. Step 5: Solve for x
    x = 290,474,394.36/21,962.50
  6. Step 6: Final answer
    x = 13,225.93

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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.