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Finding the Fourth Proportional to 19,468.52, 26,866.56 and 11,085

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Solution

The fourth proportional to 19,468.52, 26,866.56 and 11,085 is: 15,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,468.52 : 26,866.56 = 11,085 : x
  2. Step 2: Convert to fraction form
    19,468.52/26,866.56 = 11,085/x
  3. Step 3: Cross multiply
    19,468.52x = 26,866.56 × 11,085
  4. Step 4: Simplify right side
    19,468.52x = 297,815,817.60
  5. Step 5: Solve for x
    x = 297,815,817.60/19,468.52
  6. Step 6: Final answer
    x = 15,297.30

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Why These Related Problems?

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