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Finding the Fourth Proportional to 14,125.78, 19,493.70 and 7,838.26

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Solution

The fourth proportional to 14,125.78, 19,493.70 and 7,838.26 is: 10,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.78 : 19,493.70 = 7,838.26 : x
  2. Step 2: Convert to fraction form
    14,125.78/19,493.70 = 7,838.26/x
  3. Step 3: Cross multiply
    14,125.78x = 19,493.70 × 7,838.26
  4. Step 4: Simplify right side
    14,125.78x = 152,796,688.96
  5. Step 5: Solve for x
    x = 152,796,688.96/14,125.78
  6. Step 6: Final answer
    x = 10,816.87

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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.