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Finding the Fourth Proportional to 25,775.90, 35,573.24 and 14,447.31

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Solution

The fourth proportional to 25,775.90, 35,573.24 and 14,447.31 is: 19,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775.90 : 35,573.24 = 14,447.31 : x
  2. Step 2: Convert to fraction form
    25,775.90/35,573.24 = 14,447.31/x
  3. Step 3: Cross multiply
    25,775.90x = 35,573.24 × 14,447.31
  4. Step 4: Simplify right side
    25,775.90x = 513,937,553.75
  5. Step 5: Solve for x
    x = 513,937,553.75/25,775.90
  6. Step 6: Final answer
    x = 19,938.69

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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.