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Finding the Fourth Proportional to 24,473.85, 36,705.24 and 11,319

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Solution

The fourth proportional to 24,473.85, 36,705.24 and 11,319 is: 16,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473.85 : 36,705.24 = 11,319 : x
  2. Step 2: Convert to fraction form
    24,473.85/36,705.24 = 11,319/x
  3. Step 3: Cross multiply
    24,473.85x = 36,705.24 × 11,319
  4. Step 4: Simplify right side
    24,473.85x = 415,466,611.56
  5. Step 5: Solve for x
    x = 415,466,611.56/24,473.85
  6. Step 6: Final answer
    x = 16,975.94

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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.