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Finding the Fourth Proportional to 22,309.16, 33,441.98 and 10,619.24

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Solution

The fourth proportional to 22,309.16, 33,441.98 and 10,619.24 is: 15,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,309.16 : 33,441.98 = 10,619.24 : x
  2. Step 2: Convert to fraction form
    22,309.16/33,441.98 = 10,619.24/x
  3. Step 3: Cross multiply
    22,309.16x = 33,441.98 × 10,619.24
  4. Step 4: Simplify right side
    22,309.16x = 355,128,411.70
  5. Step 5: Solve for x
    x = 355,128,411.70/22,309.16
  6. Step 6: Final answer
    x = 15,918.50

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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.