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Finding the Fourth Proportional to 29,022.47, 40,058.16 and 17,698.22

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Solution

The fourth proportional to 29,022.47, 40,058.16 and 17,698.22 is: 24,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,022.47 : 40,058.16 = 17,698.22 : x
  2. Step 2: Convert to fraction form
    29,022.47/40,058.16 = 17,698.22/x
  3. Step 3: Cross multiply
    29,022.47x = 40,058.16 × 17,698.22
  4. Step 4: Simplify right side
    29,022.47x = 708,958,012.03
  5. Step 5: Solve for x
    x = 708,958,012.03/29,022.47
  6. Step 6: Final answer
    x = 24,427.90

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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.