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Finding the Fourth Proportional to 24,524.56, 36,789 and 6,994

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Solution

The fourth proportional to 24,524.56, 36,789 and 6,994 is: 10,491.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,524.56 : 36,789 = 6,994 : x
  2. Step 2: Convert to fraction form
    24,524.56/36,789 = 6,994/x
  3. Step 3: Cross multiply
    24,524.56x = 36,789 × 6,994
  4. Step 4: Simplify right side
    24,524.56x = 257,302,266
  5. Step 5: Solve for x
    x = 257,302,266/24,524.56
  6. Step 6: Final answer
    x = 10,491.62

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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.