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Finding the Fourth Proportional to 13,878.72, 19,152.34 and 7,591.10

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Solution

The fourth proportional to 13,878.72, 19,152.34 and 7,591.10 is: 10,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.72 : 19,152.34 = 7,591.10 : x
  2. Step 2: Convert to fraction form
    13,878.72/19,152.34 = 7,591.10/x
  3. Step 3: Cross multiply
    13,878.72x = 19,152.34 × 7,591.10
  4. Step 4: Simplify right side
    13,878.72x = 145,387,213.43
  5. Step 5: Solve for x
    x = 145,387,213.43/13,878.72
  6. Step 6: Final answer
    x = 10,475.55

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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.