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Finding the Fourth Proportional to 21,664.62, 32,498.08 and 6,083.46

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Solution

The fourth proportional to 21,664.62, 32,498.08 and 6,083.46 is: 9,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.62 : 32,498.08 = 6,083.46 : x
  2. Step 2: Convert to fraction form
    21,664.62/32,498.08 = 6,083.46/x
  3. Step 3: Cross multiply
    21,664.62x = 32,498.08 × 6,083.46
  4. Step 4: Simplify right side
    21,664.62x = 197,700,769.76
  5. Step 5: Solve for x
    x = 197,700,769.76/21,664.62
  6. Step 6: Final answer
    x = 9,125.51

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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.