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Finding the Fourth Proportional to 13,197.55, 18,205.72 and 8,160.16

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Solution

The fourth proportional to 13,197.55, 18,205.72 and 8,160.16 is: 11,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.55 : 18,205.72 = 8,160.16 : x
  2. Step 2: Convert to fraction form
    13,197.55/18,205.72 = 8,160.16/x
  3. Step 3: Cross multiply
    13,197.55x = 18,205.72 × 8,160.16
  4. Step 4: Simplify right side
    13,197.55x = 148,561,613.23
  5. Step 5: Solve for x
    x = 148,561,613.23/13,197.55
  6. Step 6: Final answer
    x = 11,256.75

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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.