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Finding the Fourth Proportional to 24,464.96, 33,761.40 and 13,852.16

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Solution

The fourth proportional to 24,464.96, 33,761.40 and 13,852.16 is: 19,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,464.96 : 33,761.40 = 13,852.16 : x
  2. Step 2: Convert to fraction form
    24,464.96/33,761.40 = 13,852.16/x
  3. Step 3: Cross multiply
    24,464.96x = 33,761.40 × 13,852.16
  4. Step 4: Simplify right side
    24,464.96x = 467,668,314.62
  5. Step 5: Solve for x
    x = 467,668,314.62/24,464.96
  6. Step 6: Final answer
    x = 19,115.84

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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.