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Finding the Fourth Proportional to 12,886.56, 19,313.71 and 6,963.23

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Solution

The fourth proportional to 12,886.56, 19,313.71 and 6,963.23 is: 10,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.56 : 19,313.71 = 6,963.23 : x
  2. Step 2: Convert to fraction form
    12,886.56/19,313.71 = 6,963.23/x
  3. Step 3: Cross multiply
    12,886.56x = 19,313.71 × 6,963.23
  4. Step 4: Simplify right side
    12,886.56x = 134,485,835.76
  5. Step 5: Solve for x
    x = 134,485,835.76/12,886.56
  6. Step 6: Final answer
    x = 10,436.13

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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.