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Finding the Fourth Proportional to 15,255, 22,879.80 and 6,933.06

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Solution

The fourth proportional to 15,255, 22,879.80 and 6,933.06 is: 10,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,255 : 22,879.80 = 6,933.06 : x
  2. Step 2: Convert to fraction form
    15,255/22,879.80 = 6,933.06/x
  3. Step 3: Cross multiply
    15,255x = 22,879.80 × 6,933.06
  4. Step 4: Simplify right side
    15,255x = 158,627,026.19
  5. Step 5: Solve for x
    x = 158,627,026.19/15,255
  6. Step 6: Final answer
    x = 10,398.36

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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.