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Finding the Fourth Proportional to 21,824.74, 32,742.15 and 6,831.01

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Solution

The fourth proportional to 21,824.74, 32,742.15 and 6,831.01 is: 10,248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.74 : 32,742.15 = 6,831.01 : x
  2. Step 2: Convert to fraction form
    21,824.74/32,742.15 = 6,831.01/x
  3. Step 3: Cross multiply
    21,824.74x = 32,742.15 × 6,831.01
  4. Step 4: Simplify right side
    21,824.74x = 223,661,954.07
  5. Step 5: Solve for x
    x = 223,661,954.07/21,824.74
  6. Step 6: Final answer
    x = 10,248.09

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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.