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Finding the Fourth Proportional to 25,777.83, 35,570.97 and 14,599.83

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Solution

The fourth proportional to 25,777.83, 35,570.97 and 14,599.83 is: 20,146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.83 : 35,570.97 = 14,599.83 : x
  2. Step 2: Convert to fraction form
    25,777.83/35,570.97 = 14,599.83/x
  3. Step 3: Cross multiply
    25,777.83x = 35,570.97 × 14,599.83
  4. Step 4: Simplify right side
    25,777.83x = 519,330,114.94
  5. Step 5: Solve for x
    x = 519,330,114.94/25,777.83
  6. Step 6: Final answer
    x = 20,146.39

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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.