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Finding the Fourth Proportional to 12,767.20, 19,152.60 and 4,001.20

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Solution

The fourth proportional to 12,767.20, 19,152.60 and 4,001.20 is: 6,002.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.20 : 19,152.60 = 4,001.20 : x
  2. Step 2: Convert to fraction form
    12,767.20/19,152.60 = 4,001.20/x
  3. Step 3: Cross multiply
    12,767.20x = 19,152.60 × 4,001.20
  4. Step 4: Simplify right side
    12,767.20x = 76,633,383.12
  5. Step 5: Solve for x
    x = 76,633,383.12/12,767.20
  6. Step 6: Final answer
    x = 6,002.36

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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.