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Finding the Fourth Proportional to 12,402, 17,115.93 and 7,096.86

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Solution

The fourth proportional to 12,402, 17,115.93 and 7,096.86 is: 9,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402 : 17,115.93 = 7,096.86 : x
  2. Step 2: Convert to fraction form
    12,402/17,115.93 = 7,096.86/x
  3. Step 3: Cross multiply
    12,402x = 17,115.93 × 7,096.86
  4. Step 4: Simplify right side
    12,402x = 121,469,358.98
  5. Step 5: Solve for x
    x = 121,469,358.98/12,402
  6. Step 6: Final answer
    x = 9,794.34

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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.