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Finding the Fourth Proportional to 27,444, 41,157.90 and 8,723.28

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Solution

The fourth proportional to 27,444, 41,157.90 and 8,723.28 is: 13,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,444 : 41,157.90 = 8,723.28 : x
  2. Step 2: Convert to fraction form
    27,444/41,157.90 = 8,723.28/x
  3. Step 3: Cross multiply
    27,444x = 41,157.90 × 8,723.28
  4. Step 4: Simplify right side
    27,444x = 359,031,885.91
  5. Step 5: Solve for x
    x = 359,031,885.91/27,444
  6. Step 6: Final answer
    x = 13,082.35

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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.