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Finding the Fourth Proportional to 24,616.26, 33,972.26 and 14,009.30

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Solution

The fourth proportional to 24,616.26, 33,972.26 and 14,009.30 is: 19,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,616.26 : 33,972.26 = 14,009.30 : x
  2. Step 2: Convert to fraction form
    24,616.26/33,972.26 = 14,009.30/x
  3. Step 3: Cross multiply
    24,616.26x = 33,972.26 × 14,009.30
  4. Step 4: Simplify right side
    24,616.26x = 475,927,582.02
  5. Step 5: Solve for x
    x = 475,927,582.02/24,616.26
  6. Step 6: Final answer
    x = 19,333.87

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1.5x scale

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.