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Finding the Fourth Proportional to 30,431.64, 41,995.24 and 17,004.20

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Solution

The fourth proportional to 30,431.64, 41,995.24 and 17,004.20 is: 23,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.64 : 41,995.24 = 17,004.20 : x
  2. Step 2: Convert to fraction form
    30,431.64/41,995.24 = 17,004.20/x
  3. Step 3: Cross multiply
    30,431.64x = 41,995.24 × 17,004.20
  4. Step 4: Simplify right side
    30,431.64x = 714,095,460.01
  5. Step 5: Solve for x
    x = 714,095,460.01/30,431.64
  6. Step 6: Final answer
    x = 23,465.56

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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.