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Finding the Fourth Proportional to 13,807.35, 19,054.62 and 7,838.82

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Solution

The fourth proportional to 13,807.35, 19,054.62 and 7,838.82 is: 10,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.35 : 19,054.62 = 7,838.82 : x
  2. Step 2: Convert to fraction form
    13,807.35/19,054.62 = 7,838.82/x
  3. Step 3: Cross multiply
    13,807.35x = 19,054.62 × 7,838.82
  4. Step 4: Simplify right side
    13,807.35x = 149,365,736.35
  5. Step 5: Solve for x
    x = 149,365,736.35/13,807.35
  6. Step 6: Final answer
    x = 10,817.84

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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.