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Finding the Fourth Proportional to 21,560.32, 32,314.56 and 11,699.20

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Solution

The fourth proportional to 21,560.32, 32,314.56 and 11,699.20 is: 17,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,560.32 : 32,314.56 = 11,699.20 : x
  2. Step 2: Convert to fraction form
    21,560.32/32,314.56 = 11,699.20/x
  3. Step 3: Cross multiply
    21,560.32x = 32,314.56 × 11,699.20
  4. Step 4: Simplify right side
    21,560.32x = 378,054,500.35
  5. Step 5: Solve for x
    x = 378,054,500.35/21,560.32
  6. Step 6: Final answer
    x = 17,534.74

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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.