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Finding the Fourth Proportional to 16,902.54, 23,326.38 and 9,733.52

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Solution

The fourth proportional to 16,902.54, 23,326.38 and 9,733.52 is: 13,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,902.54 : 23,326.38 = 9,733.52 : x
  2. Step 2: Convert to fraction form
    16,902.54/23,326.38 = 9,733.52/x
  3. Step 3: Cross multiply
    16,902.54x = 23,326.38 × 9,733.52
  4. Step 4: Simplify right side
    16,902.54x = 227,047,786.26
  5. Step 5: Solve for x
    x = 227,047,786.26/16,902.54
  6. Step 6: Final answer
    x = 13,432.76

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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.