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Finding the Fourth Proportional to 13,022.01, 19,533.15 and 5,229

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Solution

The fourth proportional to 13,022.01, 19,533.15 and 5,229 is: 7,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.01 : 19,533.15 = 5,229 : x
  2. Step 2: Convert to fraction form
    13,022.01/19,533.15 = 5,229/x
  3. Step 3: Cross multiply
    13,022.01x = 19,533.15 × 5,229
  4. Step 4: Simplify right side
    13,022.01x = 102,138,841.35
  5. Step 5: Solve for x
    x = 102,138,841.35/13,022.01
  6. Step 6: Final answer
    x = 7,843.55

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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.