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Finding the Fourth Proportional to 22,593.36, 31,180 and 12,522.88

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Solution

The fourth proportional to 22,593.36, 31,180 and 12,522.88 is: 17,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,593.36 : 31,180 = 12,522.88 : x
  2. Step 2: Convert to fraction form
    22,593.36/31,180 = 12,522.88/x
  3. Step 3: Cross multiply
    22,593.36x = 31,180 × 12,522.88
  4. Step 4: Simplify right side
    22,593.36x = 390,463,398.40
  5. Step 5: Solve for x
    x = 390,463,398.40/22,593.36
  6. Step 6: Final answer
    x = 17,282.22

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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.