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Finding the Fourth Proportional to 21,097.73, 31,649.66 and 7,777.10

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Solution

The fourth proportional to 21,097.73, 31,649.66 and 7,777.10 is: 11,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.73 : 31,649.66 = 7,777.10 : x
  2. Step 2: Convert to fraction form
    21,097.73/31,649.66 = 7,777.10/x
  3. Step 3: Cross multiply
    21,097.73x = 31,649.66 × 7,777.10
  4. Step 4: Simplify right side
    21,097.73x = 246,142,412.54
  5. Step 5: Solve for x
    x = 246,142,412.54/21,097.73
  6. Step 6: Final answer
    x = 11,666.78

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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.