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Finding the Fourth Proportional to 13,107.62, 18,089.24 and 7,139.13

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Solution

The fourth proportional to 13,107.62, 18,089.24 and 7,139.13 is: 9,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.62 : 18,089.24 = 7,139.13 : x
  2. Step 2: Convert to fraction form
    13,107.62/18,089.24 = 7,139.13/x
  3. Step 3: Cross multiply
    13,107.62x = 18,089.24 × 7,139.13
  4. Step 4: Simplify right side
    13,107.62x = 129,141,400.27
  5. Step 5: Solve for x
    x = 129,141,400.27/13,107.62
  6. Step 6: Final answer
    x = 9,852.39

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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.