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Finding the Fourth Proportional to 14,249.84, 19,646.33 and 9,765.56

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Solution

The fourth proportional to 14,249.84, 19,646.33 and 9,765.56 is: 13,463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.84 : 19,646.33 = 9,765.56 : x
  2. Step 2: Convert to fraction form
    14,249.84/19,646.33 = 9,765.56/x
  3. Step 3: Cross multiply
    14,249.84x = 19,646.33 × 9,765.56
  4. Step 4: Simplify right side
    14,249.84x = 191,857,414.68
  5. Step 5: Solve for x
    x = 191,857,414.68/14,249.84
  6. Step 6: Final answer
    x = 13,463.83

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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.