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Finding the Fourth Proportional to 21,610.44, 29,821.38 and 12,178.68

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Solution

The fourth proportional to 21,610.44, 29,821.38 and 12,178.68 is: 16,806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.44 : 29,821.38 = 12,178.68 : x
  2. Step 2: Convert to fraction form
    21,610.44/29,821.38 = 12,178.68/x
  3. Step 3: Cross multiply
    21,610.44x = 29,821.38 × 12,178.68
  4. Step 4: Simplify right side
    21,610.44x = 363,185,044.18
  5. Step 5: Solve for x
    x = 363,185,044.18/21,610.44
  6. Step 6: Final answer
    x = 16,806.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.