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Finding the Fourth Proportional to 25,921.98, 35,770.47 and 14,590.89

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Solution

The fourth proportional to 25,921.98, 35,770.47 and 14,590.89 is: 20,134.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,921.98 : 35,770.47 = 14,590.89 : x
  2. Step 2: Convert to fraction form
    25,921.98/35,770.47 = 14,590.89/x
  3. Step 3: Cross multiply
    25,921.98x = 35,770.47 × 14,590.89
  4. Step 4: Simplify right side
    25,921.98x = 521,922,993.02
  5. Step 5: Solve for x
    x = 521,922,993.02/25,921.98
  6. Step 6: Final answer
    x = 20,134.38

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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.