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Finding the Fourth Proportional to 22,939.44, 31,643.01 and 14,428.14

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Solution

The fourth proportional to 22,939.44, 31,643.01 and 14,428.14 is: 19,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,939.44 : 31,643.01 = 14,428.14 : x
  2. Step 2: Convert to fraction form
    22,939.44/31,643.01 = 14,428.14/x
  3. Step 3: Cross multiply
    22,939.44x = 31,643.01 × 14,428.14
  4. Step 4: Simplify right side
    22,939.44x = 456,549,778.30
  5. Step 5: Solve for x
    x = 456,549,778.30/22,939.44
  6. Step 6: Final answer
    x = 19,902.39

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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.