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Finding the Fourth Proportional to 14,641.44, 20,208.24 and 13,460.64

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Solution

The fourth proportional to 14,641.44, 20,208.24 and 13,460.64 is: 18,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.44 : 20,208.24 = 13,460.64 : x
  2. Step 2: Convert to fraction form
    14,641.44/20,208.24 = 13,460.64/x
  3. Step 3: Cross multiply
    14,641.44x = 20,208.24 × 13,460.64
  4. Step 4: Simplify right side
    14,641.44x = 272,015,843.67
  5. Step 5: Solve for x
    x = 272,015,843.67/14,641.44
  6. Step 6: Final answer
    x = 18,578.49

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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.