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Finding the Fourth Proportional to 12,693.71, 19,047.86 and 9,912.58

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Solution

The fourth proportional to 12,693.71, 19,047.86 and 9,912.58 is: 14,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,693.71 : 19,047.86 = 9,912.58 : x
  2. Step 2: Convert to fraction form
    12,693.71/19,047.86 = 9,912.58/x
  3. Step 3: Cross multiply
    12,693.71x = 19,047.86 × 9,912.58
  4. Step 4: Simplify right side
    12,693.71x = 188,813,376.07
  5. Step 5: Solve for x
    x = 188,813,376.07/12,693.71
  6. Step 6: Final answer
    x = 14,874.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.