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Finding the Fourth Proportional to 15,493.42, 23,182.71 and 9,256.83

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Solution

The fourth proportional to 15,493.42, 23,182.71 and 9,256.83 is: 13,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.42 : 23,182.71 = 9,256.83 : x
  2. Step 2: Convert to fraction form
    15,493.42/23,182.71 = 9,256.83/x
  3. Step 3: Cross multiply
    15,493.42x = 23,182.71 × 9,256.83
  4. Step 4: Simplify right side
    15,493.42x = 214,598,405.41
  5. Step 5: Solve for x
    x = 214,598,405.41/15,493.42
  6. Step 6: Final answer
    x = 13,850.94

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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.