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Finding the Fourth Proportional to 16,435.36, 22,633.02 and 14,281

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Solution

The fourth proportional to 16,435.36, 22,633.02 and 14,281 is: 19,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435.36 : 22,633.02 = 14,281 : x
  2. Step 2: Convert to fraction form
    16,435.36/22,633.02 = 14,281/x
  3. Step 3: Cross multiply
    16,435.36x = 22,633.02 × 14,281
  4. Step 4: Simplify right side
    16,435.36x = 323,222,158.62
  5. Step 5: Solve for x
    x = 323,222,158.62/16,435.36
  6. Step 6: Final answer
    x = 19,666.27

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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.