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Finding the Fourth Proportional to 24,415.32, 33,692.58 and 13,804.32

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Solution

The fourth proportional to 24,415.32, 33,692.58 and 13,804.32 is: 19,049.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.32 : 33,692.58 = 13,804.32 : x
  2. Step 2: Convert to fraction form
    24,415.32/33,692.58 = 13,804.32/x
  3. Step 3: Cross multiply
    24,415.32x = 33,692.58 × 13,804.32
  4. Step 4: Simplify right side
    24,415.32x = 465,103,155.95
  5. Step 5: Solve for x
    x = 465,103,155.95/24,415.32
  6. Step 6: Final answer
    x = 19,049.64

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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.