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Finding the Fourth Proportional to 12,770.16, 19,156.23 and 4,005

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Solution

The fourth proportional to 12,770.16, 19,156.23 and 4,005 is: 6,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.16 : 19,156.23 = 4,005 : x
  2. Step 2: Convert to fraction form
    12,770.16/19,156.23 = 4,005/x
  3. Step 3: Cross multiply
    12,770.16x = 19,156.23 × 4,005
  4. Step 4: Simplify right side
    12,770.16x = 76,720,701.15
  5. Step 5: Solve for x
    x = 76,720,701.15/12,770.16
  6. Step 6: Final answer
    x = 6,007.81

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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.