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Finding the Fourth Proportional to 14,733, 22,080.06 and 8,162.28

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Solution

The fourth proportional to 14,733, 22,080.06 and 8,162.28 is: 12,232.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,733 : 22,080.06 = 8,162.28 : x
  2. Step 2: Convert to fraction form
    14,733/22,080.06 = 8,162.28/x
  3. Step 3: Cross multiply
    14,733x = 22,080.06 × 8,162.28
  4. Step 4: Simplify right side
    14,733x = 180,223,632.14
  5. Step 5: Solve for x
    x = 180,223,632.14/14,733
  6. Step 6: Final answer
    x = 12,232.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.