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Finding the Fourth Proportional to 14,530.37, 21,796.85 and 5,645.49

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Solution

The fourth proportional to 14,530.37, 21,796.85 and 5,645.49 is: 8,468.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.37 : 21,796.85 = 5,645.49 : x
  2. Step 2: Convert to fraction form
    14,530.37/21,796.85 = 5,645.49/x
  3. Step 3: Cross multiply
    14,530.37x = 21,796.85 × 5,645.49
  4. Step 4: Simplify right side
    14,530.37x = 123,053,870.48
  5. Step 5: Solve for x
    x = 123,053,870.48/14,530.37
  6. Step 6: Final answer
    x = 8,468.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.