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Finding the Fourth Proportional to 21,622.48, 32,419.32 and 7,769.68

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Solution

The fourth proportional to 21,622.48, 32,419.32 and 7,769.68 is: 11,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,622.48 : 32,419.32 = 7,769.68 : x
  2. Step 2: Convert to fraction form
    21,622.48/32,419.32 = 7,769.68/x
  3. Step 3: Cross multiply
    21,622.48x = 32,419.32 × 7,769.68
  4. Step 4: Simplify right side
    21,622.48x = 251,887,742.22
  5. Step 5: Solve for x
    x = 251,887,742.22/21,622.48
  6. Step 6: Final answer
    x = 11,649.35

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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.