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Finding the Fourth Proportional to 21,454.47, 32,181.71 and 7,593.75

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Solution

The fourth proportional to 21,454.47, 32,181.71 and 7,593.75 is: 11,390.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.47 : 32,181.71 = 7,593.75 : x
  2. Step 2: Convert to fraction form
    21,454.47/32,181.71 = 7,593.75/x
  3. Step 3: Cross multiply
    21,454.47x = 32,181.71 × 7,593.75
  4. Step 4: Simplify right side
    21,454.47x = 244,379,822.34
  5. Step 5: Solve for x
    x = 244,379,822.34/21,454.47
  6. Step 6: Final answer
    x = 11,390.63

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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.