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Finding the Fourth Proportional to 12,765.36, 19,148.40 and 3,531.36

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Solution

The fourth proportional to 12,765.36, 19,148.40 and 3,531.36 is: 5,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.36 : 19,148.40 = 3,531.36 : x
  2. Step 2: Convert to fraction form
    12,765.36/19,148.40 = 3,531.36/x
  3. Step 3: Cross multiply
    12,765.36x = 19,148.40 × 3,531.36
  4. Step 4: Simplify right side
    12,765.36x = 67,619,893.82
  5. Step 5: Solve for x
    x = 67,619,893.82/12,765.36
  6. Step 6: Final answer
    x = 5,297.14

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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.