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Finding the Fourth Proportional to 21,663.58, 32,489.70 and 6,077.56

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Solution

The fourth proportional to 21,663.58, 32,489.70 and 6,077.56 is: 9,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,663.58 : 32,489.70 = 6,077.56 : x
  2. Step 2: Convert to fraction form
    21,663.58/32,489.70 = 6,077.56/x
  3. Step 3: Cross multiply
    21,663.58x = 32,489.70 × 6,077.56
  4. Step 4: Simplify right side
    21,663.58x = 197,458,101.13
  5. Step 5: Solve for x
    x = 197,458,101.13/21,663.58
  6. Step 6: Final answer
    x = 9,114.75

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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.