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Finding the Fourth Proportional to 21,997.34, 32,989.06 and 7,202.86

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Solution

The fourth proportional to 21,997.34, 32,989.06 and 7,202.86 is: 10,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,997.34 : 32,989.06 = 7,202.86 : x
  2. Step 2: Convert to fraction form
    21,997.34/32,989.06 = 7,202.86/x
  3. Step 3: Cross multiply
    21,997.34x = 32,989.06 × 7,202.86
  4. Step 4: Simplify right side
    21,997.34x = 237,615,580.71
  5. Step 5: Solve for x
    x = 237,615,580.71/21,997.34
  6. Step 6: Final answer
    x = 10,802.01

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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.