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Finding the Fourth Proportional to 22,333.28, 33,482.64 and 10,652

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Solution

The fourth proportional to 22,333.28, 33,482.64 and 10,652 is: 15,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,333.28 : 33,482.64 = 10,652 : x
  2. Step 2: Convert to fraction form
    22,333.28/33,482.64 = 10,652/x
  3. Step 3: Cross multiply
    22,333.28x = 33,482.64 × 10,652
  4. Step 4: Simplify right side
    22,333.28x = 356,657,081.28
  5. Step 5: Solve for x
    x = 356,657,081.28/22,333.28
  6. Step 6: Final answer
    x = 15,969.76

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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.