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Finding the Fourth Proportional to 21,220.68, 31,831.62 and 5,638.32

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Solution

The fourth proportional to 21,220.68, 31,831.62 and 5,638.32 is: 8,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,220.68 : 31,831.62 = 5,638.32 : x
  2. Step 2: Convert to fraction form
    21,220.68/31,831.62 = 5,638.32/x
  3. Step 3: Cross multiply
    21,220.68x = 31,831.62 × 5,638.32
  4. Step 4: Simplify right side
    21,220.68x = 179,476,859.68
  5. Step 5: Solve for x
    x = 179,476,859.68/21,220.68
  6. Step 6: Final answer
    x = 8,457.64

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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.