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Finding the Fourth Proportional to 24,764, 34,174.92 and 13,586

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Solution

The fourth proportional to 24,764, 34,174.92 and 13,586 is: 18,749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,764 : 34,174.92 = 13,586 : x
  2. Step 2: Convert to fraction form
    24,764/34,174.92 = 13,586/x
  3. Step 3: Cross multiply
    24,764x = 34,174.92 × 13,586
  4. Step 4: Simplify right side
    24,764x = 464,300,463.12
  5. Step 5: Solve for x
    x = 464,300,463.12/24,764
  6. Step 6: Final answer
    x = 18,749.01

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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.