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Finding the Fourth Proportional to 12,730.74, 17,568.81 and 7,429.02

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Solution

The fourth proportional to 12,730.74, 17,568.81 and 7,429.02 is: 10,252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.74 : 17,568.81 = 7,429.02 : x
  2. Step 2: Convert to fraction form
    12,730.74/17,568.81 = 7,429.02/x
  3. Step 3: Cross multiply
    12,730.74x = 17,568.81 × 7,429.02
  4. Step 4: Simplify right side
    12,730.74x = 130,519,040.87
  5. Step 5: Solve for x
    x = 130,519,040.87/12,730.74
  6. Step 6: Final answer
    x = 10,252.27

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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.