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Finding the Fourth Proportional to 16,238.89, 24,400.86 and 14,164.08

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Solution

The fourth proportional to 16,238.89, 24,400.86 and 14,164.08 is: 21,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.89 : 24,400.86 = 14,164.08 : x
  2. Step 2: Convert to fraction form
    16,238.89/24,400.86 = 14,164.08/x
  3. Step 3: Cross multiply
    16,238.89x = 24,400.86 × 14,164.08
  4. Step 4: Simplify right side
    16,238.89x = 345,615,733.11
  5. Step 5: Solve for x
    x = 345,615,733.11/16,238.89
  6. Step 6: Final answer
    x = 21,283.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.