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Finding the Fourth Proportional to 10,147.36, 15,218.16 and 3,221.68

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Solution

The fourth proportional to 10,147.36, 15,218.16 and 3,221.68 is: 4,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.36 : 15,218.16 = 3,221.68 : x
  2. Step 2: Convert to fraction form
    10,147.36/15,218.16 = 3,221.68/x
  3. Step 3: Cross multiply
    10,147.36x = 15,218.16 × 3,221.68
  4. Step 4: Simplify right side
    10,147.36x = 49,028,041.71
  5. Step 5: Solve for x
    x = 49,028,041.71/10,147.36
  6. Step 6: Final answer
    x = 4,831.61

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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.