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Finding the Fourth Proportional to 15,486.67, 21,374.72 and 9,197.83

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Solution

The fourth proportional to 15,486.67, 21,374.72 and 9,197.83 is: 12,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486.67 : 21,374.72 = 9,197.83 : x
  2. Step 2: Convert to fraction form
    15,486.67/21,374.72 = 9,197.83/x
  3. Step 3: Cross multiply
    15,486.67x = 21,374.72 × 9,197.83
  4. Step 4: Simplify right side
    15,486.67x = 196,601,040.86
  5. Step 5: Solve for x
    x = 196,601,040.86/15,486.67
  6. Step 6: Final answer
    x = 12,694.86

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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.