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Finding the Fourth Proportional to 25,294.76, 34,907.86 and 14,116.76

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Solution

The fourth proportional to 25,294.76, 34,907.86 and 14,116.76 is: 19,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.76 : 34,907.86 = 14,116.76 : x
  2. Step 2: Convert to fraction form
    25,294.76/34,907.86 = 14,116.76/x
  3. Step 3: Cross multiply
    25,294.76x = 34,907.86 × 14,116.76
  4. Step 4: Simplify right side
    25,294.76x = 492,785,881.73
  5. Step 5: Solve for x
    x = 492,785,881.73/25,294.76
  6. Step 6: Final answer
    x = 19,481.74

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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.