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Finding the Fourth Proportional to 12,862.56, 19,298.24 and 5,067.20

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Solution

The fourth proportional to 12,862.56, 19,298.24 and 5,067.20 is: 7,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.56 : 19,298.24 = 5,067.20 : x
  2. Step 2: Convert to fraction form
    12,862.56/19,298.24 = 5,067.20/x
  3. Step 3: Cross multiply
    12,862.56x = 19,298.24 × 5,067.20
  4. Step 4: Simplify right side
    12,862.56x = 97,788,041.73
  5. Step 5: Solve for x
    x = 97,788,041.73/12,862.56
  6. Step 6: Final answer
    x = 7,602.53

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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.