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Finding the Fourth Proportional to 13,113.17, 18,096.38 and 7,144.84

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Solution

The fourth proportional to 13,113.17, 18,096.38 and 7,144.84 is: 9,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,113.17 : 18,096.38 = 7,144.84 : x
  2. Step 2: Convert to fraction form
    13,113.17/18,096.38 = 7,144.84/x
  3. Step 3: Cross multiply
    13,113.17x = 18,096.38 × 7,144.84
  4. Step 4: Simplify right side
    13,113.17x = 129,295,702.47
  5. Step 5: Solve for x
    x = 129,295,702.47/13,113.17
  6. Step 6: Final answer
    x = 9,859.99

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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.