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Finding the Fourth Proportional to 24,524.34, 36,786.51 and 6,994.23

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Solution

The fourth proportional to 24,524.34, 36,786.51 and 6,994.23 is: 10,491.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,524.34 : 36,786.51 = 6,994.23 : x
  2. Step 2: Convert to fraction form
    24,524.34/36,786.51 = 6,994.23/x
  3. Step 3: Cross multiply
    24,524.34x = 36,786.51 × 6,994.23
  4. Step 4: Simplify right side
    24,524.34x = 257,293,311.84
  5. Step 5: Solve for x
    x = 257,293,311.84/24,524.34
  6. Step 6: Final answer
    x = 10,491.35

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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.