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Finding the Fourth Proportional to 14,426.13, 19,908 and 8,138.46

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Solution

The fourth proportional to 14,426.13, 19,908 and 8,138.46 is: 11,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,426.13 : 19,908 = 8,138.46 : x
  2. Step 2: Convert to fraction form
    14,426.13/19,908 = 8,138.46/x
  3. Step 3: Cross multiply
    14,426.13x = 19,908 × 8,138.46
  4. Step 4: Simplify right side
    14,426.13x = 162,020,461.68
  5. Step 5: Solve for x
    x = 162,020,461.68/14,426.13
  6. Step 6: Final answer
    x = 11,231.04

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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.