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Finding the Fourth Proportional to 25,294.46, 34,907.97 and 14,116.46

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Solution

The fourth proportional to 25,294.46, 34,907.97 and 14,116.46 is: 19,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294.46 : 34,907.97 = 14,116.46 : x
  2. Step 2: Convert to fraction form
    25,294.46/34,907.97 = 14,116.46/x
  3. Step 3: Cross multiply
    25,294.46x = 34,907.97 × 14,116.46
  4. Step 4: Simplify right side
    25,294.46x = 492,776,962.19
  5. Step 5: Solve for x
    x = 492,776,962.19/25,294.46
  6. Step 6: Final answer
    x = 19,481.62

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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.