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Finding the Fourth Proportional to 21,589.57, 32,326.71 and 12,697.48

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Solution

The fourth proportional to 21,589.57, 32,326.71 and 12,697.48 is: 19,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,589.57 : 32,326.71 = 12,697.48 : x
  2. Step 2: Convert to fraction form
    21,589.57/32,326.71 = 12,697.48/x
  3. Step 3: Cross multiply
    21,589.57x = 32,326.71 × 12,697.48
  4. Step 4: Simplify right side
    21,589.57x = 410,467,753.69
  5. Step 5: Solve for x
    x = 410,467,753.69/21,589.57
  6. Step 6: Final answer
    x = 19,012.32

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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.