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Finding the Fourth Proportional to 21,622.26, 32,434.06 and 6,831.30

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Solution

The fourth proportional to 21,622.26, 32,434.06 and 6,831.30 is: 10,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.26 : 32,434.06 = 6,831.30 : x
  2. Step 2: Convert to fraction form
    21,622.26/32,434.06 = 6,831.30/x
  3. Step 3: Cross multiply
    21,622.26x = 32,434.06 × 6,831.30
  4. Step 4: Simplify right side
    21,622.26x = 221,566,794.08
  5. Step 5: Solve for x
    x = 221,566,794.08/21,622.26
  6. Step 6: Final answer
    x = 10,247.16

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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.