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Finding the Fourth Proportional to 13,923.56, 19,211.72 and 7,957.20

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Solution

The fourth proportional to 13,923.56, 19,211.72 and 7,957.20 is: 10,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.56 : 19,211.72 = 7,957.20 : x
  2. Step 2: Convert to fraction form
    13,923.56/19,211.72 = 7,957.20/x
  3. Step 3: Cross multiply
    13,923.56x = 19,211.72 × 7,957.20
  4. Step 4: Simplify right side
    13,923.56x = 152,871,498.38
  5. Step 5: Solve for x
    x = 152,871,498.38/13,923.56
  6. Step 6: Final answer
    x = 10,979.34

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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.