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Finding the Fourth Proportional to 17,767.77, 24,519.13 and 10,213.90

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Solution

The fourth proportional to 17,767.77, 24,519.13 and 10,213.90 is: 14,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.77 : 24,519.13 = 10,213.90 : x
  2. Step 2: Convert to fraction form
    17,767.77/24,519.13 = 10,213.90/x
  3. Step 3: Cross multiply
    17,767.77x = 24,519.13 × 10,213.90
  4. Step 4: Simplify right side
    17,767.77x = 250,435,941.91
  5. Step 5: Solve for x
    x = 250,435,941.91/17,767.77
  6. Step 6: Final answer
    x = 14,094.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.