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Finding the Fourth Proportional to 14,082.80, 19,430.12 and 8,112.32

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Solution

The fourth proportional to 14,082.80, 19,430.12 and 8,112.32 is: 11,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.80 : 19,430.12 = 8,112.32 : x
  2. Step 2: Convert to fraction form
    14,082.80/19,430.12 = 8,112.32/x
  3. Step 3: Cross multiply
    14,082.80x = 19,430.12 × 8,112.32
  4. Step 4: Simplify right side
    14,082.80x = 157,623,351.08
  5. Step 5: Solve for x
    x = 157,623,351.08/14,082.80
  6. Step 6: Final answer
    x = 11,192.61

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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.