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Finding the Fourth Proportional to 14,162.73, 19,541.73 and 8,192.22

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Solution

The fourth proportional to 14,162.73, 19,541.73 and 8,192.22 is: 11,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.73 : 19,541.73 = 8,192.22 : x
  2. Step 2: Convert to fraction form
    14,162.73/19,541.73 = 8,192.22/x
  3. Step 3: Cross multiply
    14,162.73x = 19,541.73 × 8,192.22
  4. Step 4: Simplify right side
    14,162.73x = 160,090,151.34
  5. Step 5: Solve for x
    x = 160,090,151.34/14,162.73
  6. Step 6: Final answer
    x = 11,303.62

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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.