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Finding the Fourth Proportional to 21,678.36, 32,520.63 and 6,686.73

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Solution

The fourth proportional to 21,678.36, 32,520.63 and 6,686.73 is: 10,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.36 : 32,520.63 = 6,686.73 : x
  2. Step 2: Convert to fraction form
    21,678.36/32,520.63 = 6,686.73/x
  3. Step 3: Cross multiply
    21,678.36x = 32,520.63 × 6,686.73
  4. Step 4: Simplify right side
    21,678.36x = 217,456,672.24
  5. Step 5: Solve for x
    x = 217,456,672.24/21,678.36
  6. Step 6: Final answer
    x = 10,031.05

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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.