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Finding the Fourth Proportional to 13,778.36, 19,014.15 and 7,490.73

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Solution

The fourth proportional to 13,778.36, 19,014.15 and 7,490.73 is: 10,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.36 : 19,014.15 = 7,490.73 : x
  2. Step 2: Convert to fraction form
    13,778.36/19,014.15 = 7,490.73/x
  3. Step 3: Cross multiply
    13,778.36x = 19,014.15 × 7,490.73
  4. Step 4: Simplify right side
    13,778.36x = 142,429,863.83
  5. Step 5: Solve for x
    x = 142,429,863.83/13,778.36
  6. Step 6: Final answer
    x = 10,337.22

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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.