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Finding the Fourth Proportional to 29,820.74, 41,152.84 and 16,392.22

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Solution

The fourth proportional to 29,820.74, 41,152.84 and 16,392.22 is: 22,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820.74 : 41,152.84 = 16,392.22 : x
  2. Step 2: Convert to fraction form
    29,820.74/41,152.84 = 16,392.22/x
  3. Step 3: Cross multiply
    29,820.74x = 41,152.84 × 16,392.22
  4. Step 4: Simplify right side
    29,820.74x = 674,586,263.04
  5. Step 5: Solve for x
    x = 674,586,263.04/29,820.74
  6. Step 6: Final answer
    x = 22,621.38

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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.