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Finding the Fourth Proportional to 12,730.50, 17,568.21 and 7,141.62

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Solution

The fourth proportional to 12,730.50, 17,568.21 and 7,141.62 is: 9,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,730.50 : 17,568.21 = 7,141.62 : x
  2. Step 2: Convert to fraction form
    12,730.50/17,568.21 = 7,141.62/x
  3. Step 3: Cross multiply
    12,730.50x = 17,568.21 × 7,141.62
  4. Step 4: Simplify right side
    12,730.50x = 125,465,479.90
  5. Step 5: Solve for x
    x = 125,465,479.90/12,730.50
  6. Step 6: Final answer
    x = 9,855.50

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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.