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Finding the Fourth Proportional to 13,102.19, 18,081.34 and 7,134.18

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Solution

The fourth proportional to 13,102.19, 18,081.34 and 7,134.18 is: 9,845.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.19 : 18,081.34 = 7,134.18 : x
  2. Step 2: Convert to fraction form
    13,102.19/18,081.34 = 7,134.18/x
  3. Step 3: Cross multiply
    13,102.19x = 18,081.34 × 7,134.18
  4. Step 4: Simplify right side
    13,102.19x = 128,995,498.53
  5. Step 5: Solve for x
    x = 128,995,498.53/13,102.19
  6. Step 6: Final answer
    x = 9,845.34

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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.