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Finding the Fourth Proportional to 22,540.50, 31,094.55 and 14,476.14

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Solution

The fourth proportional to 22,540.50, 31,094.55 and 14,476.14 is: 19,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540.50 : 31,094.55 = 14,476.14 : x
  2. Step 2: Convert to fraction form
    22,540.50/31,094.55 = 14,476.14/x
  3. Step 3: Cross multiply
    22,540.50x = 31,094.55 × 14,476.14
  4. Step 4: Simplify right side
    22,540.50x = 450,129,059.04
  5. Step 5: Solve for x
    x = 450,129,059.04/22,540.50
  6. Step 6: Final answer
    x = 19,969.79

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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.