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Finding the Fourth Proportional to 24,467.50, 36,703.08 and 6,938.74

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Solution

The fourth proportional to 24,467.50, 36,703.08 and 6,938.74 is: 10,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.50 : 36,703.08 = 6,938.74 : x
  2. Step 2: Convert to fraction form
    24,467.50/36,703.08 = 6,938.74/x
  3. Step 3: Cross multiply
    24,467.50x = 36,703.08 × 6,938.74
  4. Step 4: Simplify right side
    24,467.50x = 254,673,129.32
  5. Step 5: Solve for x
    x = 254,673,129.32/24,467.50
  6. Step 6: Final answer
    x = 10,408.63

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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.