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Finding the Fourth Proportional to 21,765.09, 32,648.66 and 6,974.14

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Solution

The fourth proportional to 21,765.09, 32,648.66 and 6,974.14 is: 10,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,765.09 : 32,648.66 = 6,974.14 : x
  2. Step 2: Convert to fraction form
    21,765.09/32,648.66 = 6,974.14/x
  3. Step 3: Cross multiply
    21,765.09x = 32,648.66 × 6,974.14
  4. Step 4: Simplify right side
    21,765.09x = 227,696,284.94
  5. Step 5: Solve for x
    x = 227,696,284.94/21,765.09
  6. Step 6: Final answer
    x = 10,461.54

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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.