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Finding the Fourth Proportional to 24,861.44, 37,292.16 and 6,392

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Solution

The fourth proportional to 24,861.44, 37,292.16 and 6,392 is: 9,588.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,861.44 : 37,292.16 = 6,392 : x
  2. Step 2: Convert to fraction form
    24,861.44/37,292.16 = 6,392/x
  3. Step 3: Cross multiply
    24,861.44x = 37,292.16 × 6,392
  4. Step 4: Simplify right side
    24,861.44x = 238,371,486.72
  5. Step 5: Solve for x
    x = 238,371,486.72/24,861.44
  6. Step 6: Final answer
    x = 9,588.00

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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.