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Finding the Fourth Proportional to 13,249.44, 19,776.84 and 12,288

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Solution

The fourth proportional to 13,249.44, 19,776.84 and 12,288 is: 18,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,249.44 : 19,776.84 = 12,288 : x
  2. Step 2: Convert to fraction form
    13,249.44/19,776.84 = 12,288/x
  3. Step 3: Cross multiply
    13,249.44x = 19,776.84 × 12,288
  4. Step 4: Simplify right side
    13,249.44x = 243,017,809.92
  5. Step 5: Solve for x
    x = 243,017,809.92/13,249.44
  6. Step 6: Final answer
    x = 18,341.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.