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Finding the Fourth Proportional to 13,197.96, 18,214.74 and 7,610.04

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Solution

The fourth proportional to 13,197.96, 18,214.74 and 7,610.04 is: 10,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.96 : 18,214.74 = 7,610.04 : x
  2. Step 2: Convert to fraction form
    13,197.96/18,214.74 = 7,610.04/x
  3. Step 3: Cross multiply
    13,197.96x = 18,214.74 × 7,610.04
  4. Step 4: Simplify right side
    13,197.96x = 138,614,899.99
  5. Step 5: Solve for x
    x = 138,614,899.99/13,197.96
  6. Step 6: Final answer
    x = 10,502.75

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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.