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Finding the Fourth Proportional to 16,115.64, 22,249.86 and 14,434.08

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Solution

The fourth proportional to 16,115.64, 22,249.86 and 14,434.08 is: 19,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,115.64 : 22,249.86 = 14,434.08 : x
  2. Step 2: Convert to fraction form
    16,115.64/22,249.86 = 14,434.08/x
  3. Step 3: Cross multiply
    16,115.64x = 22,249.86 × 14,434.08
  4. Step 4: Simplify right side
    16,115.64x = 321,156,259.23
  5. Step 5: Solve for x
    x = 321,156,259.23/16,115.64
  6. Step 6: Final answer
    x = 19,928.23

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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.