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Finding the Fourth Proportional to 12,889.63, 19,336.42 and 6,316.18

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Solution

The fourth proportional to 12,889.63, 19,336.42 and 6,316.18 is: 9,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.63 : 19,336.42 = 6,316.18 : x
  2. Step 2: Convert to fraction form
    12,889.63/19,336.42 = 6,316.18/x
  3. Step 3: Cross multiply
    12,889.63x = 19,336.42 × 6,316.18
  4. Step 4: Simplify right side
    12,889.63x = 122,132,268.83
  5. Step 5: Solve for x
    x = 122,132,268.83/12,889.63
  6. Step 6: Final answer
    x = 9,475.23

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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.