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Finding the Fourth Proportional to 15,446.34, 23,169.78 and 5,058

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Solution

The fourth proportional to 15,446.34, 23,169.78 and 5,058 is: 7,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,446.34 : 23,169.78 = 5,058 : x
  2. Step 2: Convert to fraction form
    15,446.34/23,169.78 = 5,058/x
  3. Step 3: Cross multiply
    15,446.34x = 23,169.78 × 5,058
  4. Step 4: Simplify right side
    15,446.34x = 117,192,747.24
  5. Step 5: Solve for x
    x = 117,192,747.24/15,446.34
  6. Step 6: Final answer
    x = 7,587.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.