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Finding the Fourth Proportional to 22,822.88, 31,492.66 and 13,388

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Solution

The fourth proportional to 22,822.88, 31,492.66 and 13,388 is: 18,473.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,822.88 : 31,492.66 = 13,388 : x
  2. Step 2: Convert to fraction form
    22,822.88/31,492.66 = 13,388/x
  3. Step 3: Cross multiply
    22,822.88x = 31,492.66 × 13,388
  4. Step 4: Simplify right side
    22,822.88x = 421,623,732.08
  5. Step 5: Solve for x
    x = 421,623,732.08/22,822.88
  6. Step 6: Final answer
    x = 18,473.73

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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.