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Finding the Fourth Proportional to 29,894.80, 41,254.84 and 16,466.02

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Solution

The fourth proportional to 29,894.80, 41,254.84 and 16,466.02 is: 22,723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894.80 : 41,254.84 = 16,466.02 : x
  2. Step 2: Convert to fraction form
    29,894.80/41,254.84 = 16,466.02/x
  3. Step 3: Cross multiply
    29,894.80x = 41,254.84 × 16,466.02
  4. Step 4: Simplify right side
    29,894.80x = 679,303,020.54
  5. Step 5: Solve for x
    x = 679,303,020.54/29,894.80
  6. Step 6: Final answer
    x = 22,723.12

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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.