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Finding the Fourth Proportional to 24,074.88, 33,223.08 and 13,464.57

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Solution

The fourth proportional to 24,074.88, 33,223.08 and 13,464.57 is: 18,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,074.88 : 33,223.08 = 13,464.57 : x
  2. Step 2: Convert to fraction form
    24,074.88/33,223.08 = 13,464.57/x
  3. Step 3: Cross multiply
    24,074.88x = 33,223.08 × 13,464.57
  4. Step 4: Simplify right side
    24,074.88x = 447,334,486.28
  5. Step 5: Solve for x
    x = 447,334,486.28/24,074.88
  6. Step 6: Final answer
    x = 18,580.96

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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.