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Finding the Fourth Proportional to 22,492.54, 31,047.99 and 13,540.46

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Solution

The fourth proportional to 22,492.54, 31,047.99 and 13,540.46 is: 18,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.54 : 31,047.99 = 13,540.46 : x
  2. Step 2: Convert to fraction form
    22,492.54/31,047.99 = 13,540.46/x
  3. Step 3: Cross multiply
    22,492.54x = 31,047.99 × 13,540.46
  4. Step 4: Simplify right side
    22,492.54x = 420,404,066.68
  5. Step 5: Solve for x
    x = 420,404,066.68/22,492.54
  6. Step 6: Final answer
    x = 18,690.82

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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.