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Finding the Fourth Proportional to 17,710.60, 26,553.60 and 7,844.50

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Solution

The fourth proportional to 17,710.60, 26,553.60 and 7,844.50 is: 11,761.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.60 : 26,553.60 = 7,844.50 : x
  2. Step 2: Convert to fraction form
    17,710.60/26,553.60 = 7,844.50/x
  3. Step 3: Cross multiply
    17,710.60x = 26,553.60 × 7,844.50
  4. Step 4: Simplify right side
    17,710.60x = 208,299,715.20
  5. Step 5: Solve for x
    x = 208,299,715.20/17,710.60
  6. Step 6: Final answer
    x = 11,761.30

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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.