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Finding the Fourth Proportional to 12,323.70, 17,005.38 and 7,288.10

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Solution

The fourth proportional to 12,323.70, 17,005.38 and 7,288.10 is: 10,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.70 : 17,005.38 = 7,288.10 : x
  2. Step 2: Convert to fraction form
    12,323.70/17,005.38 = 7,288.10/x
  3. Step 3: Cross multiply
    12,323.70x = 17,005.38 × 7,288.10
  4. Step 4: Simplify right side
    12,323.70x = 123,936,909.98
  5. Step 5: Solve for x
    x = 123,936,909.98/12,323.70
  6. Step 6: Final answer
    x = 10,056.79

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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.