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Finding the Fourth Proportional to 12,185.01, 18,258.39 and 9,418.47

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Solution

The fourth proportional to 12,185.01, 18,258.39 and 9,418.47 is: 14,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.01 : 18,258.39 = 9,418.47 : x
  2. Step 2: Convert to fraction form
    12,185.01/18,258.39 = 9,418.47/x
  3. Step 3: Cross multiply
    12,185.01x = 18,258.39 × 9,418.47
  4. Step 4: Simplify right side
    12,185.01x = 171,966,098.46
  5. Step 5: Solve for x
    x = 171,966,098.46/12,185.01
  6. Step 6: Final answer
    x = 14,112.92

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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.