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Finding the Fourth Proportional to 14,410.38, 19,902.72 and 9,686.46

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Solution

The fourth proportional to 14,410.38, 19,902.72 and 9,686.46 is: 13,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.38 : 19,902.72 = 9,686.46 : x
  2. Step 2: Convert to fraction form
    14,410.38/19,902.72 = 9,686.46/x
  3. Step 3: Cross multiply
    14,410.38x = 19,902.72 × 9,686.46
  4. Step 4: Simplify right side
    14,410.38x = 192,786,901.17
  5. Step 5: Solve for x
    x = 192,786,901.17/14,410.38
  6. Step 6: Final answer
    x = 13,378.34

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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.