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Finding the Fourth Proportional to 17,001.60, 23,454.12 and 11,338.96

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Solution

The fourth proportional to 17,001.60, 23,454.12 and 11,338.96 is: 15,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,001.60 : 23,454.12 = 11,338.96 : x
  2. Step 2: Convert to fraction form
    17,001.60/23,454.12 = 11,338.96/x
  3. Step 3: Cross multiply
    17,001.60x = 23,454.12 × 11,338.96
  4. Step 4: Simplify right side
    17,001.60x = 265,945,328.52
  5. Step 5: Solve for x
    x = 265,945,328.52/17,001.60
  6. Step 6: Final answer
    x = 15,642.37

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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.