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Finding the Fourth Proportional to 16,431.93, 22,602.38 and 14,405.31

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Solution

The fourth proportional to 16,431.93, 22,602.38 and 14,405.31 is: 19,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.93 : 22,602.38 = 14,405.31 : x
  2. Step 2: Convert to fraction form
    16,431.93/22,602.38 = 14,405.31/x
  3. Step 3: Cross multiply
    16,431.93x = 22,602.38 × 14,405.31
  4. Step 4: Simplify right side
    16,431.93x = 325,594,218.61
  5. Step 5: Solve for x
    x = 325,594,218.61/16,431.93
  6. Step 6: Final answer
    x = 19,814.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.