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Finding the Fourth Proportional to 21,034.01, 31,566.65 and 9,944.10

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Solution

The fourth proportional to 21,034.01, 31,566.65 and 9,944.10 is: 14,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.01 : 31,566.65 = 9,944.10 : x
  2. Step 2: Convert to fraction form
    21,034.01/31,566.65 = 9,944.10/x
  3. Step 3: Cross multiply
    21,034.01x = 31,566.65 × 9,944.10
  4. Step 4: Simplify right side
    21,034.01x = 313,901,874.54
  5. Step 5: Solve for x
    x = 313,901,874.54/21,034.01
  6. Step 6: Final answer
    x = 14,923.54

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