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Finding the Fourth Proportional to 13,019, 17,966.22 and 7,429.88

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Solution

The fourth proportional to 13,019, 17,966.22 and 7,429.88 is: 10,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019 : 17,966.22 = 7,429.88 : x
  2. Step 2: Convert to fraction form
    13,019/17,966.22 = 7,429.88/x
  3. Step 3: Cross multiply
    13,019x = 17,966.22 × 7,429.88
  4. Step 4: Simplify right side
    13,019x = 133,486,858.65
  5. Step 5: Solve for x
    x = 133,486,858.65/13,019
  6. Step 6: Final answer
    x = 10,253.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.