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Finding the Fourth Proportional to 21,563.70, 32,334.61 and 9,866.90

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Solution

The fourth proportional to 21,563.70, 32,334.61 and 9,866.90 is: 14,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.70 : 32,334.61 = 9,866.90 : x
  2. Step 2: Convert to fraction form
    21,563.70/32,334.61 = 9,866.90/x
  3. Step 3: Cross multiply
    21,563.70x = 32,334.61 × 9,866.90
  4. Step 4: Simplify right side
    21,563.70x = 319,042,152.40
  5. Step 5: Solve for x
    x = 319,042,152.40/21,563.70
  6. Step 6: Final answer
    x = 14,795.33

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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.