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Finding the Fourth Proportional to 13,096.46, 18,074 and 7,994.14

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Solution

The fourth proportional to 13,096.46, 18,074 and 7,994.14 is: 11,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.46 : 18,074 = 7,994.14 : x
  2. Step 2: Convert to fraction form
    13,096.46/18,074 = 7,994.14/x
  3. Step 3: Cross multiply
    13,096.46x = 18,074 × 7,994.14
  4. Step 4: Simplify right side
    13,096.46x = 144,486,086.36
  5. Step 5: Solve for x
    x = 144,486,086.36/13,096.46
  6. Step 6: Final answer
    x = 11,032.45

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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.