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Finding the Fourth Proportional to 12,994.30, 19,458.24 and 7,144.48

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Solution

The fourth proportional to 12,994.30, 19,458.24 and 7,144.48 is: 10,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.30 : 19,458.24 = 7,144.48 : x
  2. Step 2: Convert to fraction form
    12,994.30/19,458.24 = 7,144.48/x
  3. Step 3: Cross multiply
    12,994.30x = 19,458.24 × 7,144.48
  4. Step 4: Simplify right side
    12,994.30x = 139,019,006.52
  5. Step 5: Solve for x
    x = 139,019,006.52/12,994.30
  6. Step 6: Final answer
    x = 10,698.46

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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.