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Finding the Fourth Proportional to 13,908.80, 19,187.72 and 12,317.07

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Solution

The fourth proportional to 13,908.80, 19,187.72 and 12,317.07 is: 16,991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.80 : 19,187.72 = 12,317.07 : x
  2. Step 2: Convert to fraction form
    13,908.80/19,187.72 = 12,317.07/x
  3. Step 3: Cross multiply
    13,908.80x = 19,187.72 × 12,317.07
  4. Step 4: Simplify right side
    13,908.80x = 236,336,490.38
  5. Step 5: Solve for x
    x = 236,336,490.38/13,908.80
  6. Step 6: Final answer
    x = 16,991.87

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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.