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Finding the Fourth Proportional to 13,997.38, 19,309.03 and 8,328.10

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Solution

The fourth proportional to 13,997.38, 19,309.03 and 8,328.10 is: 11,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.38 : 19,309.03 = 8,328.10 : x
  2. Step 2: Convert to fraction form
    13,997.38/19,309.03 = 8,328.10/x
  3. Step 3: Cross multiply
    13,997.38x = 19,309.03 × 8,328.10
  4. Step 4: Simplify right side
    13,997.38x = 160,807,532.74
  5. Step 5: Solve for x
    x = 160,807,532.74/13,997.38
  6. Step 6: Final answer
    x = 11,488.40

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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.