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Finding the Fourth Proportional to 29,422.86, 40,601.84 and 15,994

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Solution

The fourth proportional to 29,422.86, 40,601.84 and 15,994 is: 22,070.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,422.86 : 40,601.84 = 15,994 : x
  2. Step 2: Convert to fraction form
    29,422.86/40,601.84 = 15,994/x
  3. Step 3: Cross multiply
    29,422.86x = 40,601.84 × 15,994
  4. Step 4: Simplify right side
    29,422.86x = 649,385,828.96
  5. Step 5: Solve for x
    x = 649,385,828.96/29,422.86
  6. Step 6: Final answer
    x = 22,070.79

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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.