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Finding the Fourth Proportional to 12,538.42, 17,266.55 and 11,737.07

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Solution

The fourth proportional to 12,538.42, 17,266.55 and 11,737.07 is: 16,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.42 : 17,266.55 = 11,737.07 : x
  2. Step 2: Convert to fraction form
    12,538.42/17,266.55 = 11,737.07/x
  3. Step 3: Cross multiply
    12,538.42x = 17,266.55 × 11,737.07
  4. Step 4: Simplify right side
    12,538.42x = 202,658,625.74
  5. Step 5: Solve for x
    x = 202,658,625.74/12,538.42
  6. Step 6: Final answer
    x = 16,163.01

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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.