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Finding the Fourth Proportional to 22,578.21, 31,157.58 and 12,369.16

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Solution

The fourth proportional to 22,578.21, 31,157.58 and 12,369.16 is: 17,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.21 : 31,157.58 = 12,369.16 : x
  2. Step 2: Convert to fraction form
    22,578.21/31,157.58 = 12,369.16/x
  3. Step 3: Cross multiply
    22,578.21x = 31,157.58 × 12,369.16
  4. Step 4: Simplify right side
    22,578.21x = 385,393,092.23
  5. Step 5: Solve for x
    x = 385,393,092.23/22,578.21
  6. Step 6: Final answer
    x = 17,069.25

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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.