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Finding the Fourth Proportional to 15,805.20, 21,811.50 and 9,093

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Solution

The fourth proportional to 15,805.20, 21,811.50 and 9,093 is: 12,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.20 : 21,811.50 = 9,093 : x
  2. Step 2: Convert to fraction form
    15,805.20/21,811.50 = 9,093/x
  3. Step 3: Cross multiply
    15,805.20x = 21,811.50 × 9,093
  4. Step 4: Simplify right side
    15,805.20x = 198,331,969.50
  5. Step 5: Solve for x
    x = 198,331,969.50/15,805.20
  6. Step 6: Final answer
    x = 12,548.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.