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Finding the Fourth Proportional to 22,639.84, 33,958.14 and 7,057

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Solution

The fourth proportional to 22,639.84, 33,958.14 and 7,057 is: 10,585.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,639.84 : 33,958.14 = 7,057 : x
  2. Step 2: Convert to fraction form
    22,639.84/33,958.14 = 7,057/x
  3. Step 3: Cross multiply
    22,639.84x = 33,958.14 × 7,057
  4. Step 4: Simplify right side
    22,639.84x = 239,642,593.98
  5. Step 5: Solve for x
    x = 239,642,593.98/22,639.84
  6. Step 6: Final answer
    x = 10,585.00

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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.