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Finding the Fourth Proportional to 21,097.84, 31,621.92 and 8,610.07

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Solution

The fourth proportional to 21,097.84, 31,621.92 and 8,610.07 is: 12,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.84 : 31,621.92 = 8,610.07 : x
  2. Step 2: Convert to fraction form
    21,097.84/31,621.92 = 8,610.07/x
  3. Step 3: Cross multiply
    21,097.84x = 31,621.92 × 8,610.07
  4. Step 4: Simplify right side
    21,097.84x = 272,266,944.73
  5. Step 5: Solve for x
    x = 272,266,944.73/21,097.84
  6. Step 6: Final answer
    x = 12,904.97

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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.