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Finding the Fourth Proportional to 19,533.17, 29,296.55 and 5,494.16

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Solution

The fourth proportional to 19,533.17, 29,296.55 and 5,494.16 is: 8,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,533.17 : 29,296.55 = 5,494.16 : x
  2. Step 2: Convert to fraction form
    19,533.17/29,296.55 = 5,494.16/x
  3. Step 3: Cross multiply
    19,533.17x = 29,296.55 × 5,494.16
  4. Step 4: Simplify right side
    19,533.17x = 160,959,759.19
  5. Step 5: Solve for x
    x = 160,959,759.19/19,533.17
  6. Step 6: Final answer
    x = 8,240.33

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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.