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Finding the Fourth Proportional to 12,795.66, 17,657.19 and 7,129.62

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Solution

The fourth proportional to 12,795.66, 17,657.19 and 7,129.62 is: 9,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795.66 : 17,657.19 = 7,129.62 : x
  2. Step 2: Convert to fraction form
    12,795.66/17,657.19 = 7,129.62/x
  3. Step 3: Cross multiply
    12,795.66x = 17,657.19 × 7,129.62
  4. Step 4: Simplify right side
    12,795.66x = 125,889,054.97
  5. Step 5: Solve for x
    x = 125,889,054.97/12,795.66
  6. Step 6: Final answer
    x = 9,838.42

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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.