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Finding the Fourth Proportional to 13,122, 18,109.17 and 7,533

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Solution

The fourth proportional to 13,122, 18,109.17 and 7,533 is: 10,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 18,109.17 = 7,533 : x
  2. Step 2: Convert to fraction form
    13,122/18,109.17 = 7,533/x
  3. Step 3: Cross multiply
    13,122x = 18,109.17 × 7,533
  4. Step 4: Simplify right side
    13,122x = 136,416,377.61
  5. Step 5: Solve for x
    x = 136,416,377.61/13,122
  6. Step 6: Final answer
    x = 10,396.01

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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.