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Finding the Fourth Proportional to 13,548.96, 18,697.43 and 7,499.22

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Solution

The fourth proportional to 13,548.96, 18,697.43 and 7,499.22 is: 10,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.96 : 18,697.43 = 7,499.22 : x
  2. Step 2: Convert to fraction form
    13,548.96/18,697.43 = 7,499.22/x
  3. Step 3: Cross multiply
    13,548.96x = 18,697.43 × 7,499.22
  4. Step 4: Simplify right side
    13,548.96x = 140,216,010.02
  5. Step 5: Solve for x
    x = 140,216,010.02/13,548.96
  6. Step 6: Final answer
    x = 10,348.84

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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.