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Finding the Fourth Proportional to 13,522.97, 18,660.87 and 7,473.07

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Solution

The fourth proportional to 13,522.97, 18,660.87 and 7,473.07 is: 10,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.97 : 18,660.87 = 7,473.07 : x
  2. Step 2: Convert to fraction form
    13,522.97/18,660.87 = 7,473.07/x
  3. Step 3: Cross multiply
    13,522.97x = 18,660.87 × 7,473.07
  4. Step 4: Simplify right side
    13,522.97x = 139,454,053.11
  5. Step 5: Solve for x
    x = 139,454,053.11/13,522.97
  6. Step 6: Final answer
    x = 10,312.39

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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.