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Finding the Fourth Proportional to 14,103.77, 19,463.85 and 7,816.14

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Solution

The fourth proportional to 14,103.77, 19,463.85 and 7,816.14 is: 10,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.77 : 19,463.85 = 7,816.14 : x
  2. Step 2: Convert to fraction form
    14,103.77/19,463.85 = 7,816.14/x
  3. Step 3: Cross multiply
    14,103.77x = 19,463.85 × 7,816.14
  4. Step 4: Simplify right side
    14,103.77x = 152,132,176.54
  5. Step 5: Solve for x
    x = 152,132,176.54/14,103.77
  6. Step 6: Final answer
    x = 10,786.64

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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.