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Finding the Fourth Proportional to 12,713.53, 17,538.44 and 11,032.58

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Solution

The fourth proportional to 12,713.53, 17,538.44 and 11,032.58 is: 15,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.53 : 17,538.44 = 11,032.58 : x
  2. Step 2: Convert to fraction form
    12,713.53/17,538.44 = 11,032.58/x
  3. Step 3: Cross multiply
    12,713.53x = 17,538.44 × 11,032.58
  4. Step 4: Simplify right side
    12,713.53x = 193,494,099.52
  5. Step 5: Solve for x
    x = 193,494,099.52/12,713.53
  6. Step 6: Final answer
    x = 15,219.54

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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.