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Finding the Fourth Proportional to 13,956.54, 19,240.11 and 9,976.20

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Solution

The fourth proportional to 13,956.54, 19,240.11 and 9,976.20 is: 13,752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.54 : 19,240.11 = 9,976.20 : x
  2. Step 2: Convert to fraction form
    13,956.54/19,240.11 = 9,976.20/x
  3. Step 3: Cross multiply
    13,956.54x = 19,240.11 × 9,976.20
  4. Step 4: Simplify right side
    13,956.54x = 191,943,185.38
  5. Step 5: Solve for x
    x = 191,943,185.38/13,956.54
  6. Step 6: Final answer
    x = 13,752.92

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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.