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Finding the Fourth Proportional to 14,084.67, 19,436.82 and 7,797.05

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Solution

The fourth proportional to 14,084.67, 19,436.82 and 7,797.05 is: 10,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.67 : 19,436.82 = 7,797.05 : x
  2. Step 2: Convert to fraction form
    14,084.67/19,436.82 = 7,797.05/x
  3. Step 3: Cross multiply
    14,084.67x = 19,436.82 × 7,797.05
  4. Step 4: Simplify right side
    14,084.67x = 151,549,857.38
  5. Step 5: Solve for x
    x = 151,549,857.38/14,084.67
  6. Step 6: Final answer
    x = 10,759.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.