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Finding the Fourth Proportional to 21,646.54, 32,471.03 and 6,065.38

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Solution

The fourth proportional to 21,646.54, 32,471.03 and 6,065.38 is: 9,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.54 : 32,471.03 = 6,065.38 : x
  2. Step 2: Convert to fraction form
    21,646.54/32,471.03 = 6,065.38/x
  3. Step 3: Cross multiply
    21,646.54x = 32,471.03 × 6,065.38
  4. Step 4: Simplify right side
    21,646.54x = 196,949,135.94
  5. Step 5: Solve for x
    x = 196,949,135.94/21,646.54
  6. Step 6: Final answer
    x = 9,098.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.