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Finding the Fourth Proportional to 25,294.86, 34,906.88 and 14,116.86

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Solution

The fourth proportional to 25,294.86, 34,906.88 and 14,116.86 is: 19,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.86 : 34,906.88 = 14,116.86 : x
  2. Step 2: Convert to fraction form
    25,294.86/34,906.88 = 14,116.86/x
  3. Step 3: Cross multiply
    25,294.86x = 34,906.88 × 14,116.86
  4. Step 4: Simplify right side
    25,294.86x = 492,775,538.00
  5. Step 5: Solve for x
    x = 492,775,538.00/25,294.86
  6. Step 6: Final answer
    x = 19,481.25

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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.