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Finding the Fourth Proportional to 21,766.30, 32,661.74 and 9,285.13

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Solution

The fourth proportional to 21,766.30, 32,661.74 and 9,285.13 is: 13,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,766.30 : 32,661.74 = 9,285.13 : x
  2. Step 2: Convert to fraction form
    21,766.30/32,661.74 = 9,285.13/x
  3. Step 3: Cross multiply
    21,766.30x = 32,661.74 × 9,285.13
  4. Step 4: Simplify right side
    21,766.30x = 303,268,501.93
  5. Step 5: Solve for x
    x = 303,268,501.93/21,766.30
  6. Step 6: Final answer
    x = 13,932.94

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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.