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Finding the Fourth Proportional to 12,463.87, 17,188.59 and 9,284.96

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Solution

The fourth proportional to 12,463.87, 17,188.59 and 9,284.96 is: 12,804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,463.87 : 17,188.59 = 9,284.96 : x
  2. Step 2: Convert to fraction form
    12,463.87/17,188.59 = 9,284.96/x
  3. Step 3: Cross multiply
    12,463.87x = 17,188.59 × 9,284.96
  4. Step 4: Simplify right side
    12,463.87x = 159,595,370.61
  5. Step 5: Solve for x
    x = 159,595,370.61/12,463.87
  6. Step 6: Final answer
    x = 12,804.64

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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.