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Finding the Fourth Proportional to 12,717.16, 19,068.02 and 5,695.84

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Solution

The fourth proportional to 12,717.16, 19,068.02 and 5,695.84 is: 8,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,717.16 : 19,068.02 = 5,695.84 : x
  2. Step 2: Convert to fraction form
    12,717.16/19,068.02 = 5,695.84/x
  3. Step 3: Cross multiply
    12,717.16x = 19,068.02 × 5,695.84
  4. Step 4: Simplify right side
    12,717.16x = 108,608,391.04
  5. Step 5: Solve for x
    x = 108,608,391.04/12,717.16
  6. Step 6: Final answer
    x = 8,540.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.