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Finding the Fourth Proportional to 22,802.58, 34,209.14 and 7,220.21

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Solution

The fourth proportional to 22,802.58, 34,209.14 and 7,220.21 is: 10,831.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802.58 : 34,209.14 = 7,220.21 : x
  2. Step 2: Convert to fraction form
    22,802.58/34,209.14 = 7,220.21/x
  3. Step 3: Cross multiply
    22,802.58x = 34,209.14 × 7,220.21
  4. Step 4: Simplify right side
    22,802.58x = 246,996,967.57
  5. Step 5: Solve for x
    x = 246,996,967.57/22,802.58
  6. Step 6: Final answer
    x = 10,831.97

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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.