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Finding the Fourth Proportional to 12,794.91, 17,656.65 and 7,129.68

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Solution

The fourth proportional to 12,794.91, 17,656.65 and 7,129.68 is: 9,838.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.91 : 17,656.65 = 7,129.68 : x
  2. Step 2: Convert to fraction form
    12,794.91/17,656.65 = 7,129.68/x
  3. Step 3: Cross multiply
    12,794.91x = 17,656.65 × 7,129.68
  4. Step 4: Simplify right side
    12,794.91x = 125,886,264.37
  5. Step 5: Solve for x
    x = 125,886,264.37/12,794.91
  6. Step 6: Final answer
    x = 9,838.78

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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.