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Finding the Fourth Proportional to 22,578.04, 31,157.22 and 12,506.14

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Solution

The fourth proportional to 22,578.04, 31,157.22 and 12,506.14 is: 17,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.04 : 31,157.22 = 12,506.14 : x
  2. Step 2: Convert to fraction form
    22,578.04/31,157.22 = 12,506.14/x
  3. Step 3: Cross multiply
    22,578.04x = 31,157.22 × 12,506.14
  4. Step 4: Simplify right side
    22,578.04x = 389,656,555.33
  5. Step 5: Solve for x
    x = 389,656,555.33/22,578.04
  6. Step 6: Final answer
    x = 17,258.21

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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.