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Finding the Fourth Proportional to 17,791.99, 26,691.80 and 5,313

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Solution

The fourth proportional to 17,791.99, 26,691.80 and 5,313 is: 7,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,791.99 : 26,691.80 = 5,313 : x
  2. Step 2: Convert to fraction form
    17,791.99/26,691.80 = 5,313/x
  3. Step 3: Cross multiply
    17,791.99x = 26,691.80 × 5,313
  4. Step 4: Simplify right side
    17,791.99x = 141,813,533.40
  5. Step 5: Solve for x
    x = 141,813,533.40/17,791.99
  6. Step 6: Final answer
    x = 7,970.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.