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Finding the Fourth Proportional to 14,082.87, 19,428.68 and 8,111.35

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Solution

The fourth proportional to 14,082.87, 19,428.68 and 8,111.35 is: 11,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.87 : 19,428.68 = 8,111.35 : x
  2. Step 2: Convert to fraction form
    14,082.87/19,428.68 = 8,111.35/x
  3. Step 3: Cross multiply
    14,082.87x = 19,428.68 × 8,111.35
  4. Step 4: Simplify right side
    14,082.87x = 157,592,685.82
  5. Step 5: Solve for x
    x = 157,592,685.82/14,082.87
  6. Step 6: Final answer
    x = 11,190.38

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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.