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Finding the Fourth Proportional to 14,084.16, 19,436.16 and 7,796.40

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Solution

The fourth proportional to 14,084.16, 19,436.16 and 7,796.40 is: 10,759.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.16 : 19,436.16 = 7,796.40 : x
  2. Step 2: Convert to fraction form
    14,084.16/19,436.16 = 7,796.40/x
  3. Step 3: Cross multiply
    14,084.16x = 19,436.16 × 7,796.40
  4. Step 4: Simplify right side
    14,084.16x = 151,532,077.82
  5. Step 5: Solve for x
    x = 151,532,077.82/14,084.16
  6. Step 6: Final answer
    x = 10,759.04

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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.