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Finding the Fourth Proportional to 21,394.61, 32,091.92 and 8,064.00

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Solution

The fourth proportional to 21,394.61, 32,091.92 and 8,064.00 is: 12,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.61 : 32,091.92 = 8,064.00 : x
  2. Step 2: Convert to fraction form
    21,394.61/32,091.92 = 8,064.00/x
  3. Step 3: Cross multiply
    21,394.61x = 32,091.92 × 8,064.00
  4. Step 4: Simplify right side
    21,394.61x = 258,789,152.78
  5. Step 5: Solve for x
    x = 258,789,152.78/21,394.61
  6. Step 6: Final answer
    x = 12,096.00

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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.