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Finding the Fourth Proportional to 13,778.64, 19,013.72 and 7,490.96

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Solution

The fourth proportional to 13,778.64, 19,013.72 and 7,490.96 is: 10,337.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.64 : 19,013.72 = 7,490.96 : x
  2. Step 2: Convert to fraction form
    13,778.64/19,013.72 = 7,490.96/x
  3. Step 3: Cross multiply
    13,778.64x = 19,013.72 × 7,490.96
  4. Step 4: Simplify right side
    13,778.64x = 142,431,015.97
  5. Step 5: Solve for x
    x = 142,431,015.97/13,778.64
  6. Step 6: Final answer
    x = 10,337.09

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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.