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Finding the Fourth Proportional to 30,357.68, 45,539.82 and 11,653.61

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Solution

The fourth proportional to 30,357.68, 45,539.82 and 11,653.61 is: 17,481.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357.68 : 45,539.82 = 11,653.61 : x
  2. Step 2: Convert to fraction form
    30,357.68/45,539.82 = 11,653.61/x
  3. Step 3: Cross multiply
    30,357.68x = 45,539.82 × 11,653.61
  4. Step 4: Simplify right side
    30,357.68x = 530,703,074.05
  5. Step 5: Solve for x
    x = 530,703,074.05/30,357.68
  6. Step 6: Final answer
    x = 17,481.68

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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.