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Finding the Fourth Proportional to 29,696, 40,979.28 and 17,765.93

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Solution

The fourth proportional to 29,696, 40,979.28 and 17,765.93 is: 24,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696 : 40,979.28 = 17,765.93 : x
  2. Step 2: Convert to fraction form
    29,696/40,979.28 = 17,765.93/x
  3. Step 3: Cross multiply
    29,696x = 40,979.28 × 17,765.93
  4. Step 4: Simplify right side
    29,696x = 728,035,019.93
  5. Step 5: Solve for x
    x = 728,035,019.93/29,696
  6. Step 6: Final answer
    x = 24,516.27

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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.