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Finding the Fourth Proportional to 21,538.32, 32,309.79 and 9,059.61

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Solution

The fourth proportional to 21,538.32, 32,309.79 and 9,059.61 is: 13,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.32 : 32,309.79 = 9,059.61 : x
  2. Step 2: Convert to fraction form
    21,538.32/32,309.79 = 9,059.61/x
  3. Step 3: Cross multiply
    21,538.32x = 32,309.79 × 9,059.61
  4. Step 4: Simplify right side
    21,538.32x = 292,714,183.77
  5. Step 5: Solve for x
    x = 292,714,183.77/21,538.32
  6. Step 6: Final answer
    x = 13,590.39

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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.