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Finding the Fourth Proportional to 25,597.74, 35,338.80 and 17,682.54

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Solution

The fourth proportional to 25,597.74, 35,338.80 and 17,682.54 is: 24,411.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.74 : 35,338.80 = 17,682.54 : x
  2. Step 2: Convert to fraction form
    25,597.74/35,338.80 = 17,682.54/x
  3. Step 3: Cross multiply
    25,597.74x = 35,338.80 × 17,682.54
  4. Step 4: Simplify right side
    25,597.74x = 624,879,744.55
  5. Step 5: Solve for x
    x = 624,879,744.55/25,597.74
  6. Step 6: Final answer
    x = 24,411.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.