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Finding the Fourth Proportional to 12,967.12, 19,446.52 and 4,199.92

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Solution

The fourth proportional to 12,967.12, 19,446.52 and 4,199.92 is: 6,298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.12 : 19,446.52 = 4,199.92 : x
  2. Step 2: Convert to fraction form
    12,967.12/19,446.52 = 4,199.92/x
  3. Step 3: Cross multiply
    12,967.12x = 19,446.52 × 4,199.92
  4. Step 4: Simplify right side
    12,967.12x = 81,673,828.28
  5. Step 5: Solve for x
    x = 81,673,828.28/12,967.12
  6. Step 6: Final answer
    x = 6,298.53

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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.