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Finding the Fourth Proportional to 12,538.95, 18,771.51 and 9,266.64

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Solution

The fourth proportional to 12,538.95, 18,771.51 and 9,266.64 is: 13,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.95 : 18,771.51 = 9,266.64 : x
  2. Step 2: Convert to fraction form
    12,538.95/18,771.51 = 9,266.64/x
  3. Step 3: Cross multiply
    12,538.95x = 18,771.51 × 9,266.64
  4. Step 4: Simplify right side
    12,538.95x = 173,948,825.43
  5. Step 5: Solve for x
    x = 173,948,825.43/12,538.95
  6. Step 6: Final answer
    x = 13,872.68

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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.