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Finding the Fourth Proportional to 14,455.54, 19,948.56 and 8,082.13

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Solution

The fourth proportional to 14,455.54, 19,948.56 and 8,082.13 is: 11,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.54 : 19,948.56 = 8,082.13 : x
  2. Step 2: Convert to fraction form
    14,455.54/19,948.56 = 8,082.13/x
  3. Step 3: Cross multiply
    14,455.54x = 19,948.56 × 8,082.13
  4. Step 4: Simplify right side
    14,455.54x = 161,226,755.49
  5. Step 5: Solve for x
    x = 161,226,755.49/14,455.54
  6. Step 6: Final answer
    x = 11,153.29

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1.5x scale

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.