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Finding the Fourth Proportional to 13,880.12, 19,154.12 and 7,592.09

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Solution

The fourth proportional to 13,880.12, 19,154.12 and 7,592.09 is: 10,476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.12 : 19,154.12 = 7,592.09 : x
  2. Step 2: Convert to fraction form
    13,880.12/19,154.12 = 7,592.09/x
  3. Step 3: Cross multiply
    13,880.12x = 19,154.12 × 7,592.09
  4. Step 4: Simplify right side
    13,880.12x = 145,419,669.18
  5. Step 5: Solve for x
    x = 145,419,669.18/13,880.12
  6. Step 6: Final answer
    x = 10,476.83

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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.