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Finding the Fourth Proportional to 14,084.89, 19,436.99 and 7,711.41

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Solution

The fourth proportional to 14,084.89, 19,436.99 and 7,711.41 is: 10,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.89 : 19,436.99 = 7,711.41 : x
  2. Step 2: Convert to fraction form
    14,084.89/19,436.99 = 7,711.41/x
  3. Step 3: Cross multiply
    14,084.89x = 19,436.99 × 7,711.41
  4. Step 4: Simplify right side
    14,084.89x = 149,886,511.91
  5. Step 5: Solve for x
    x = 149,886,511.91/14,084.89
  6. Step 6: Final answer
    x = 10,641.65

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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.