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Finding the Fourth Proportional to 22,704, 31,311.36 and 14,738.64

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Solution

The fourth proportional to 22,704, 31,311.36 and 14,738.64 is: 20,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704 : 31,311.36 = 14,738.64 : x
  2. Step 2: Convert to fraction form
    22,704/31,311.36 = 14,738.64/x
  3. Step 3: Cross multiply
    22,704x = 31,311.36 × 14,738.64
  4. Step 4: Simplify right side
    22,704x = 461,486,862.95
  5. Step 5: Solve for x
    x = 461,486,862.95/22,704
  6. Step 6: Final answer
    x = 20,326.24

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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.