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Finding the Fourth Proportional to 29,867.77, 41,216.03 and 16,438.68

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Solution

The fourth proportional to 29,867.77, 41,216.03 and 16,438.68 is: 22,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,867.77 : 41,216.03 = 16,438.68 : x
  2. Step 2: Convert to fraction form
    29,867.77/41,216.03 = 16,438.68/x
  3. Step 3: Cross multiply
    29,867.77x = 41,216.03 × 16,438.68
  4. Step 4: Simplify right side
    29,867.77x = 677,537,128.04
  5. Step 5: Solve for x
    x = 677,537,128.04/29,867.77
  6. Step 6: Final answer
    x = 22,684.56

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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.