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Finding the Fourth Proportional to 22,593.62, 31,178.36 and 13,640.28

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Solution

The fourth proportional to 22,593.62, 31,178.36 and 13,640.28 is: 18,823.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,593.62 : 31,178.36 = 13,640.28 : x
  2. Step 2: Convert to fraction form
    22,593.62/31,178.36 = 13,640.28/x
  3. Step 3: Cross multiply
    22,593.62x = 31,178.36 × 13,640.28
  4. Step 4: Simplify right side
    22,593.62x = 425,281,492.14
  5. Step 5: Solve for x
    x = 425,281,492.14/22,593.62
  6. Step 6: Final answer
    x = 18,823.08

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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.