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Finding the Fourth Proportional to 13,490.69, 18,619.61 and 8,459.30

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Solution

The fourth proportional to 13,490.69, 18,619.61 and 8,459.30 is: 11,675.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.69 : 18,619.61 = 8,459.30 : x
  2. Step 2: Convert to fraction form
    13,490.69/18,619.61 = 8,459.30/x
  3. Step 3: Cross multiply
    13,490.69x = 18,619.61 × 8,459.30
  4. Step 4: Simplify right side
    13,490.69x = 157,508,871.13
  5. Step 5: Solve for x
    x = 157,508,871.13/13,490.69
  6. Step 6: Final answer
    x = 11,675.38

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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.