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Finding the Fourth Proportional to 25,142.22, 34,702.50 and 14,538

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Solution

The fourth proportional to 25,142.22, 34,702.50 and 14,538 is: 20,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,142.22 : 34,702.50 = 14,538 : x
  2. Step 2: Convert to fraction form
    25,142.22/34,702.50 = 14,538/x
  3. Step 3: Cross multiply
    25,142.22x = 34,702.50 × 14,538
  4. Step 4: Simplify right side
    25,142.22x = 504,504,945
  5. Step 5: Solve for x
    x = 504,504,945/25,142.22
  6. Step 6: Final answer
    x = 20,066.05

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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.