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Finding the Fourth Proportional to 25,097.31, 34,633.04 and 14,486.31

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Solution

The fourth proportional to 25,097.31, 34,633.04 and 14,486.31 is: 19,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.31 : 34,633.04 = 14,486.31 : x
  2. Step 2: Convert to fraction form
    25,097.31/34,633.04 = 14,486.31/x
  3. Step 3: Cross multiply
    25,097.31x = 34,633.04 × 14,486.31
  4. Step 4: Simplify right side
    25,097.31x = 501,704,881.25
  5. Step 5: Solve for x
    x = 501,704,881.25/25,097.31
  6. Step 6: Final answer
    x = 19,990.38

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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.