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Finding the Fourth Proportional to 22,611.21, 31,202.38 and 12,538.86

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Solution

The fourth proportional to 22,611.21, 31,202.38 and 12,538.86 is: 17,303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611.21 : 31,202.38 = 12,538.86 : x
  2. Step 2: Convert to fraction form
    22,611.21/31,202.38 = 12,538.86/x
  3. Step 3: Cross multiply
    22,611.21x = 31,202.38 × 12,538.86
  4. Step 4: Simplify right side
    22,611.21x = 391,242,274.49
  5. Step 5: Solve for x
    x = 391,242,274.49/22,611.21
  6. Step 6: Final answer
    x = 17,303.02

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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.