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Finding the Fourth Proportional to 22,001.42, 32,999.45 and 6,419.06

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Solution

The fourth proportional to 22,001.42, 32,999.45 and 6,419.06 is: 9,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,001.42 : 32,999.45 = 6,419.06 : x
  2. Step 2: Convert to fraction form
    22,001.42/32,999.45 = 6,419.06/x
  3. Step 3: Cross multiply
    22,001.42x = 32,999.45 × 6,419.06
  4. Step 4: Simplify right side
    22,001.42x = 211,825,449.52
  5. Step 5: Solve for x
    x = 211,825,449.52/22,001.42
  6. Step 6: Final answer
    x = 9,627.81

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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.