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Finding the Fourth Proportional to 16,452, 22,707.81 and 9,382.50

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Solution

The fourth proportional to 16,452, 22,707.81 and 9,382.50 is: 12,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,452 : 22,707.81 = 9,382.50 : x
  2. Step 2: Convert to fraction form
    16,452/22,707.81 = 9,382.50/x
  3. Step 3: Cross multiply
    16,452x = 22,707.81 × 9,382.50
  4. Step 4: Simplify right side
    16,452x = 213,056,027.33
  5. Step 5: Solve for x
    x = 213,056,027.33/16,452
  6. Step 6: Final answer
    x = 12,950.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.