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Finding the Fourth Proportional to 14,451.04, 19,942.74 and 8,162.20

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Solution

The fourth proportional to 14,451.04, 19,942.74 and 8,162.20 is: 11,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.04 : 19,942.74 = 8,162.20 : x
  2. Step 2: Convert to fraction form
    14,451.04/19,942.74 = 8,162.20/x
  3. Step 3: Cross multiply
    14,451.04x = 19,942.74 × 8,162.20
  4. Step 4: Simplify right side
    14,451.04x = 162,776,632.43
  5. Step 5: Solve for x
    x = 162,776,632.43/14,451.04
  6. Step 6: Final answer
    x = 11,264.01

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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.