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Finding the Fourth Proportional to 16,307.46, 24,449.22 and 5,207.74

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Solution

The fourth proportional to 16,307.46, 24,449.22 and 5,207.74 is: 7,807.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.46 : 24,449.22 = 5,207.74 : x
  2. Step 2: Convert to fraction form
    16,307.46/24,449.22 = 5,207.74/x
  3. Step 3: Cross multiply
    16,307.46x = 24,449.22 × 5,207.74
  4. Step 4: Simplify right side
    16,307.46x = 127,325,180.96
  5. Step 5: Solve for x
    x = 127,325,180.96/16,307.46
  6. Step 6: Final answer
    x = 7,807.79

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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.