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Finding the Fourth Proportional to 22,673.96, 33,976.32 and 9,519.18

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Solution

The fourth proportional to 22,673.96, 33,976.32 and 9,519.18 is: 14,264.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.96 : 33,976.32 = 9,519.18 : x
  2. Step 2: Convert to fraction form
    22,673.96/33,976.32 = 9,519.18/x
  3. Step 3: Cross multiply
    22,673.96x = 33,976.32 × 9,519.18
  4. Step 4: Simplify right side
    22,673.96x = 323,426,705.82
  5. Step 5: Solve for x
    x = 323,426,705.82/22,673.96
  6. Step 6: Final answer
    x = 14,264.24

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1.5x scale

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.