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Finding the Fourth Proportional to 12,238.47, 16,889.06 and 7,458.43

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Solution

The fourth proportional to 12,238.47, 16,889.06 and 7,458.43 is: 10,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.47 : 16,889.06 = 7,458.43 : x
  2. Step 2: Convert to fraction form
    12,238.47/16,889.06 = 7,458.43/x
  3. Step 3: Cross multiply
    12,238.47x = 16,889.06 × 7,458.43
  4. Step 4: Simplify right side
    12,238.47x = 125,965,848.20
  5. Step 5: Solve for x
    x = 125,965,848.20/12,238.47
  6. Step 6: Final answer
    x = 10,292.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.