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Finding the Fourth Proportional to 16,382.06, 22,607.19 and 8,930.06

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Solution

The fourth proportional to 16,382.06, 22,607.19 and 8,930.06 is: 12,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.06 : 22,607.19 = 8,930.06 : x
  2. Step 2: Convert to fraction form
    16,382.06/22,607.19 = 8,930.06/x
  3. Step 3: Cross multiply
    16,382.06x = 22,607.19 × 8,930.06
  4. Step 4: Simplify right side
    16,382.06x = 201,883,563.13
  5. Step 5: Solve for x
    x = 201,883,563.13/16,382.06
  6. Step 6: Final answer
    x = 12,323.45

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1.5x scale

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.