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Finding the Fourth Proportional to 22,097.52, 33,159.60 and 8,256.24

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Solution

The fourth proportional to 22,097.52, 33,159.60 and 8,256.24 is: 12,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.52 : 33,159.60 = 8,256.24 : x
  2. Step 2: Convert to fraction form
    22,097.52/33,159.60 = 8,256.24/x
  3. Step 3: Cross multiply
    22,097.52x = 33,159.60 × 8,256.24
  4. Step 4: Simplify right side
    22,097.52x = 273,773,615.90
  5. Step 5: Solve for x
    x = 273,773,615.90/22,097.52
  6. Step 6: Final answer
    x = 12,389.34

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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.