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Finding the Fourth Proportional to 12,007.16, 18,010.64 and 4,214.16

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Solution

The fourth proportional to 12,007.16, 18,010.64 and 4,214.16 is: 6,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.16 : 18,010.64 = 4,214.16 : x
  2. Step 2: Convert to fraction form
    12,007.16/18,010.64 = 4,214.16/x
  3. Step 3: Cross multiply
    12,007.16x = 18,010.64 × 4,214.16
  4. Step 4: Simplify right side
    12,007.16x = 75,899,718.66
  5. Step 5: Solve for x
    x = 75,899,718.66/12,007.16
  6. Step 6: Final answer
    x = 6,321.20

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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.