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Finding the Fourth Proportional to 12,713.60, 19,068.36 and 3,477.44

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Solution

The fourth proportional to 12,713.60, 19,068.36 and 3,477.44 is: 5,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,713.60 : 19,068.36 = 3,477.44 : x
  2. Step 2: Convert to fraction form
    12,713.60/19,068.36 = 3,477.44/x
  3. Step 3: Cross multiply
    12,713.60x = 19,068.36 × 3,477.44
  4. Step 4: Simplify right side
    12,713.60x = 66,309,077.80
  5. Step 5: Solve for x
    x = 66,309,077.80/12,713.60
  6. Step 6: Final answer
    x = 5,215.60

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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.