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Finding the Fourth Proportional to 16,010.78, 22,094.52 and 9,296.24

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Solution

The fourth proportional to 16,010.78, 22,094.52 and 9,296.24 is: 12,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,010.78 : 22,094.52 = 9,296.24 : x
  2. Step 2: Convert to fraction form
    16,010.78/22,094.52 = 9,296.24/x
  3. Step 3: Cross multiply
    16,010.78x = 22,094.52 × 9,296.24
  4. Step 4: Simplify right side
    16,010.78x = 205,395,867.56
  5. Step 5: Solve for x
    x = 205,395,867.56/16,010.78
  6. Step 6: Final answer
    x = 12,828.60

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