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Finding the Fourth Proportional to 14,103.76, 19,463.52 and 7,816

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Solution

The fourth proportional to 14,103.76, 19,463.52 and 7,816 is: 10,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.76 : 19,463.52 = 7,816 : x
  2. Step 2: Convert to fraction form
    14,103.76/19,463.52 = 7,816/x
  3. Step 3: Cross multiply
    14,103.76x = 19,463.52 × 7,816
  4. Step 4: Simplify right side
    14,103.76x = 152,126,872.32
  5. Step 5: Solve for x
    x = 152,126,872.32/14,103.76
  6. Step 6: Final answer
    x = 10,786.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.