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Finding the Fourth Proportional to 24,467.84, 36,701.75 and 6,937.82

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Solution

The fourth proportional to 24,467.84, 36,701.75 and 6,937.82 is: 10,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.84 : 36,701.75 = 6,937.82 : x
  2. Step 2: Convert to fraction form
    24,467.84/36,701.75 = 6,937.82/x
  3. Step 3: Cross multiply
    24,467.84x = 36,701.75 × 6,937.82
  4. Step 4: Simplify right side
    24,467.84x = 254,630,135.19
  5. Step 5: Solve for x
    x = 254,630,135.19/24,467.84
  6. Step 6: Final answer
    x = 10,406.73

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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.