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Finding the Fourth Proportional to 13,807.86, 19,054.17 and 7,838.73

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Solution

The fourth proportional to 13,807.86, 19,054.17 and 7,838.73 is: 10,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.86 : 19,054.17 = 7,838.73 : x
  2. Step 2: Convert to fraction form
    13,807.86/19,054.17 = 7,838.73/x
  3. Step 3: Cross multiply
    13,807.86x = 19,054.17 × 7,838.73
  4. Step 4: Simplify right side
    13,807.86x = 149,360,494.00
  5. Step 5: Solve for x
    x = 149,360,494.00/13,807.86
  6. Step 6: Final answer
    x = 10,817.06

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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.