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Finding the Fourth Proportional to 25,573.56, 35,290.17 and 14,242.85

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Solution

The fourth proportional to 25,573.56, 35,290.17 and 14,242.85 is: 19,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,573.56 : 35,290.17 = 14,242.85 : x
  2. Step 2: Convert to fraction form
    25,573.56/35,290.17 = 14,242.85/x
  3. Step 3: Cross multiply
    25,573.56x = 35,290.17 × 14,242.85
  4. Step 4: Simplify right side
    25,573.56x = 502,632,597.78
  5. Step 5: Solve for x
    x = 502,632,597.78/25,573.56
  6. Step 6: Final answer
    x = 19,654.39

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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.