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Finding the Fourth Proportional to 16,726.48, 23,081.64 and 9,274

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Solution

The fourth proportional to 16,726.48, 23,081.64 and 9,274 is: 12,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,726.48 : 23,081.64 = 9,274 : x
  2. Step 2: Convert to fraction form
    16,726.48/23,081.64 = 9,274/x
  3. Step 3: Cross multiply
    16,726.48x = 23,081.64 × 9,274
  4. Step 4: Simplify right side
    16,726.48x = 214,059,129.36
  5. Step 5: Solve for x
    x = 214,059,129.36/16,726.48
  6. Step 6: Final answer
    x = 12,797.62

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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.