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Finding the Fourth Proportional to 21,542.32, 32,311.38 and 7,498.96

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Solution

The fourth proportional to 21,542.32, 32,311.38 and 7,498.96 is: 11,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,542.32 : 32,311.38 = 7,498.96 : x
  2. Step 2: Convert to fraction form
    21,542.32/32,311.38 = 7,498.96/x
  3. Step 3: Cross multiply
    21,542.32x = 32,311.38 × 7,498.96
  4. Step 4: Simplify right side
    21,542.32x = 242,301,746.16
  5. Step 5: Solve for x
    x = 242,301,746.16/21,542.32
  6. Step 6: Final answer
    x = 11,247.71

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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.