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Finding the Fourth Proportional to 12,967.58, 19,451.76 and 5,069.78

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Solution

The fourth proportional to 12,967.58, 19,451.76 and 5,069.78 is: 7,604.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.58 : 19,451.76 = 5,069.78 : x
  2. Step 2: Convert to fraction form
    12,967.58/19,451.76 = 5,069.78/x
  3. Step 3: Cross multiply
    12,967.58x = 19,451.76 × 5,069.78
  4. Step 4: Simplify right side
    12,967.58x = 98,616,143.81
  5. Step 5: Solve for x
    x = 98,616,143.81/12,967.58
  6. Step 6: Final answer
    x = 7,604.82

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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.