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Finding the Fourth Proportional to 12,196.63, 16,843.31 and 10,417.87

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Solution

The fourth proportional to 12,196.63, 16,843.31 and 10,417.87 is: 14,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.63 : 16,843.31 = 10,417.87 : x
  2. Step 2: Convert to fraction form
    12,196.63/16,843.31 = 10,417.87/x
  3. Step 3: Cross multiply
    12,196.63x = 16,843.31 × 10,417.87
  4. Step 4: Simplify right side
    12,196.63x = 175,471,413.95
  5. Step 5: Solve for x
    x = 175,471,413.95/12,196.63
  6. Step 6: Final answer
    x = 14,386.88

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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.