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Finding the Fourth Proportional to 22,578.22, 31,158.04 and 12,506.44

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Solution

The fourth proportional to 22,578.22, 31,158.04 and 12,506.44 is: 17,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.22 : 31,158.04 = 12,506.44 : x
  2. Step 2: Convert to fraction form
    22,578.22/31,158.04 = 12,506.44/x
  3. Step 3: Cross multiply
    22,578.22x = 31,158.04 × 12,506.44
  4. Step 4: Simplify right side
    22,578.22x = 389,676,157.78
  5. Step 5: Solve for x
    x = 389,676,157.78/22,578.22
  6. Step 6: Final answer
    x = 17,258.94

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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.