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Finding the Fourth Proportional to 14,214.72, 19,616.24 and 8,249.84

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Solution

The fourth proportional to 14,214.72, 19,616.24 and 8,249.84 is: 11,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.72 : 19,616.24 = 8,249.84 : x
  2. Step 2: Convert to fraction form
    14,214.72/19,616.24 = 8,249.84/x
  3. Step 3: Cross multiply
    14,214.72x = 19,616.24 × 8,249.84
  4. Step 4: Simplify right side
    14,214.72x = 161,830,841.40
  5. Step 5: Solve for x
    x = 161,830,841.40/14,214.72
  6. Step 6: Final answer
    x = 11,384.74

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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.