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Finding the Fourth Proportional to 29,216.83, 40,327.50 and 17,284.32

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Solution

The fourth proportional to 29,216.83, 40,327.50 and 17,284.32 is: 23,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,216.83 : 40,327.50 = 17,284.32 : x
  2. Step 2: Convert to fraction form
    29,216.83/40,327.50 = 17,284.32/x
  3. Step 3: Cross multiply
    29,216.83x = 40,327.50 × 17,284.32
  4. Step 4: Simplify right side
    29,216.83x = 697,033,414.80
  5. Step 5: Solve for x
    x = 697,033,414.80/29,216.83
  6. Step 6: Final answer
    x = 23,857.26

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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.