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Finding the Fourth Proportional to 16,467.86, 22,726 and 9,751.02

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Solution

The fourth proportional to 16,467.86, 22,726 and 9,751.02 is: 13,456.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467.86 : 22,726 = 9,751.02 : x
  2. Step 2: Convert to fraction form
    16,467.86/22,726 = 9,751.02/x
  3. Step 3: Cross multiply
    16,467.86x = 22,726 × 9,751.02
  4. Step 4: Simplify right side
    16,467.86x = 221,601,680.52
  5. Step 5: Solve for x
    x = 221,601,680.52/16,467.86
  6. Step 6: Final answer
    x = 13,456.62

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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.