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Finding the Fourth Proportional to 13,878.82, 19,153.23 and 7,591.20

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Solution

The fourth proportional to 13,878.82, 19,153.23 and 7,591.20 is: 10,476.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.82 : 19,153.23 = 7,591.20 : x
  2. Step 2: Convert to fraction form
    13,878.82/19,153.23 = 7,591.20/x
  3. Step 3: Cross multiply
    13,878.82x = 19,153.23 × 7,591.20
  4. Step 4: Simplify right side
    13,878.82x = 145,395,865.85
  5. Step 5: Solve for x
    x = 145,395,865.85/13,878.82
  6. Step 6: Final answer
    x = 10,476.10

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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.