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Finding the Fourth Proportional to 21,563.57, 32,334.42 and 9,866.77

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Solution

The fourth proportional to 21,563.57, 32,334.42 and 9,866.77 is: 14,795.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,563.57 : 32,334.42 = 9,866.77 : x
  2. Step 2: Convert to fraction form
    21,563.57/32,334.42 = 9,866.77/x
  3. Step 3: Cross multiply
    21,563.57x = 32,334.42 × 9,866.77
  4. Step 4: Simplify right side
    21,563.57x = 319,036,204.39
  5. Step 5: Solve for x
    x = 319,036,204.39/21,563.57
  6. Step 6: Final answer
    x = 14,795.15

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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.