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Finding the Fourth Proportional to 22,613.32, 31,206.18 and 12,677.32

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Solution

The fourth proportional to 22,613.32, 31,206.18 and 12,677.32 is: 17,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,613.32 : 31,206.18 = 12,677.32 : x
  2. Step 2: Convert to fraction form
    22,613.32/31,206.18 = 12,677.32/x
  3. Step 3: Cross multiply
    22,613.32x = 31,206.18 × 12,677.32
  4. Step 4: Simplify right side
    22,613.32x = 395,610,729.84
  5. Step 5: Solve for x
    x = 395,610,729.84/22,613.32
  6. Step 6: Final answer
    x = 17,494.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.