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Finding the Fourth Proportional to 14,414.84, 21,625.32 and 8,177.72

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Solution

The fourth proportional to 14,414.84, 21,625.32 and 8,177.72 is: 12,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.84 : 21,625.32 = 8,177.72 : x
  2. Step 2: Convert to fraction form
    14,414.84/21,625.32 = 8,177.72/x
  3. Step 3: Cross multiply
    14,414.84x = 21,625.32 × 8,177.72
  4. Step 4: Simplify right side
    14,414.84x = 176,845,811.87
  5. Step 5: Solve for x
    x = 176,845,811.87/14,414.84
  6. Step 6: Final answer
    x = 12,268.32

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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.