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Finding the Fourth Proportional to 13,150.67, 19,730.64 and 8,214.53

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Solution

The fourth proportional to 13,150.67, 19,730.64 and 8,214.53 is: 12,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,150.67 : 19,730.64 = 8,214.53 : x
  2. Step 2: Convert to fraction form
    13,150.67/19,730.64 = 8,214.53/x
  3. Step 3: Cross multiply
    13,150.67x = 19,730.64 × 8,214.53
  4. Step 4: Simplify right side
    13,150.67x = 162,077,934.20
  5. Step 5: Solve for x
    x = 162,077,934.20/13,150.67
  6. Step 6: Final answer
    x = 12,324.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.