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Finding the Fourth Proportional to 12,694.96, 17,516.15 and 8,160.01

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Solution

The fourth proportional to 12,694.96, 17,516.15 and 8,160.01 is: 11,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.96 : 17,516.15 = 8,160.01 : x
  2. Step 2: Convert to fraction form
    12,694.96/17,516.15 = 8,160.01/x
  3. Step 3: Cross multiply
    12,694.96x = 17,516.15 × 8,160.01
  4. Step 4: Simplify right side
    12,694.96x = 142,931,959.16
  5. Step 5: Solve for x
    x = 142,931,959.16/12,694.96
  6. Step 6: Final answer
    x = 11,258.95

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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.