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Finding the Fourth Proportional to 25,728.69, 38,566.84 and 11,698.68

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Solution

The fourth proportional to 25,728.69, 38,566.84 and 11,698.68 is: 17,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.69 : 38,566.84 = 11,698.68 : x
  2. Step 2: Convert to fraction form
    25,728.69/38,566.84 = 11,698.68/x
  3. Step 3: Cross multiply
    25,728.69x = 38,566.84 × 11,698.68
  4. Step 4: Simplify right side
    25,728.69x = 451,181,119.77
  5. Step 5: Solve for x
    x = 451,181,119.77/25,728.69
  6. Step 6: Final answer
    x = 17,536.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.