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Finding the Fourth Proportional to 24,231.69, 33,450.48 and 16,054.74

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Solution

The fourth proportional to 24,231.69, 33,450.48 and 16,054.74 is: 22,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231.69 : 33,450.48 = 16,054.74 : x
  2. Step 2: Convert to fraction form
    24,231.69/33,450.48 = 16,054.74/x
  3. Step 3: Cross multiply
    24,231.69x = 33,450.48 × 16,054.74
  4. Step 4: Simplify right side
    24,231.69x = 537,038,759.28
  5. Step 5: Solve for x
    x = 537,038,759.28/24,231.69
  6. Step 6: Final answer
    x = 22,162.66

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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.