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Finding the Fourth Proportional to 17,901.24, 26,844.96 and 6,802.08

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Solution

The fourth proportional to 17,901.24, 26,844.96 and 6,802.08 is: 10,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,901.24 : 26,844.96 = 6,802.08 : x
  2. Step 2: Convert to fraction form
    17,901.24/26,844.96 = 6,802.08/x
  3. Step 3: Cross multiply
    17,901.24x = 26,844.96 × 6,802.08
  4. Step 4: Simplify right side
    17,901.24x = 182,601,565.52
  5. Step 5: Solve for x
    x = 182,601,565.52/17,901.24
  6. Step 6: Final answer
    x = 10,200.50

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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.