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Finding the Fourth Proportional to 29,822, 41,154.44 and 16,574

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Solution

The fourth proportional to 29,822, 41,154.44 and 16,574 is: 22,872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,822 : 41,154.44 = 16,574 : x
  2. Step 2: Convert to fraction form
    29,822/41,154.44 = 16,574/x
  3. Step 3: Cross multiply
    29,822x = 41,154.44 × 16,574
  4. Step 4: Simplify right side
    29,822x = 682,093,688.56
  5. Step 5: Solve for x
    x = 682,093,688.56/29,822
  6. Step 6: Final answer
    x = 22,872.16

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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.