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Finding the Fourth Proportional to 30,082.52, 41,513.24 and 16,653

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Solution

The fourth proportional to 30,082.52, 41,513.24 and 16,653 is: 22,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.52 : 41,513.24 = 16,653 : x
  2. Step 2: Convert to fraction form
    30,082.52/41,513.24 = 16,653/x
  3. Step 3: Cross multiply
    30,082.52x = 41,513.24 × 16,653
  4. Step 4: Simplify right side
    30,082.52x = 691,319,985.72
  5. Step 5: Solve for x
    x = 691,319,985.72/30,082.52
  6. Step 6: Final answer
    x = 22,980.79

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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.