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Finding the Fourth Proportional to 22,843.54, 31,527.98 and 13,288.97

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Solution

The fourth proportional to 22,843.54, 31,527.98 and 13,288.97 is: 18,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,843.54 : 31,527.98 = 13,288.97 : x
  2. Step 2: Convert to fraction form
    22,843.54/31,527.98 = 13,288.97/x
  3. Step 3: Cross multiply
    22,843.54x = 31,527.98 × 13,288.97
  4. Step 4: Simplify right side
    22,843.54x = 418,974,492.42
  5. Step 5: Solve for x
    x = 418,974,492.42/22,843.54
  6. Step 6: Final answer
    x = 18,341.05

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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.