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Finding the Fourth Proportional to 23,339.66, 34,976.66 and 10,164.39

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Solution

The fourth proportional to 23,339.66, 34,976.66 and 10,164.39 is: 15,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,339.66 : 34,976.66 = 10,164.39 : x
  2. Step 2: Convert to fraction form
    23,339.66/34,976.66 = 10,164.39/x
  3. Step 3: Cross multiply
    23,339.66x = 34,976.66 × 10,164.39
  4. Step 4: Simplify right side
    23,339.66x = 355,516,362.32
  5. Step 5: Solve for x
    x = 355,516,362.32/23,339.66
  6. Step 6: Final answer
    x = 15,232.29

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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.