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Finding the Fourth Proportional to 14,104, 19,463.52 and 7,816.78

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Solution

The fourth proportional to 14,104, 19,463.52 and 7,816.78 is: 10,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104 : 19,463.52 = 7,816.78 : x
  2. Step 2: Convert to fraction form
    14,104/19,463.52 = 7,816.78/x
  3. Step 3: Cross multiply
    14,104x = 19,463.52 × 7,816.78
  4. Step 4: Simplify right side
    14,104x = 152,142,053.87
  5. Step 5: Solve for x
    x = 152,142,053.87/14,104
  6. Step 6: Final answer
    x = 10,787.16

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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.