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Finding the Fourth Proportional to 13,220.64, 19,831.37 and 6,647.09

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Solution

The fourth proportional to 13,220.64, 19,831.37 and 6,647.09 is: 9,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.64 : 19,831.37 = 6,647.09 : x
  2. Step 2: Convert to fraction form
    13,220.64/19,831.37 = 6,647.09/x
  3. Step 3: Cross multiply
    13,220.64x = 19,831.37 × 6,647.09
  4. Step 4: Simplify right side
    13,220.64x = 131,820,768.82
  5. Step 5: Solve for x
    x = 131,820,768.82/13,220.64
  6. Step 6: Final answer
    x = 9,970.83

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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.