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Finding the Fourth Proportional to 21,403.72, 32,105.60 and 7,543

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Solution

The fourth proportional to 21,403.72, 32,105.60 and 7,543 is: 11,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,403.72 : 32,105.60 = 7,543 : x
  2. Step 2: Convert to fraction form
    21,403.72/32,105.60 = 7,543/x
  3. Step 3: Cross multiply
    21,403.72x = 32,105.60 × 7,543
  4. Step 4: Simplify right side
    21,403.72x = 242,172,540.80
  5. Step 5: Solve for x
    x = 242,172,540.80/21,403.72
  6. Step 6: Final answer
    x = 11,314.51

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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.