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Finding the Fourth Proportional to 24,515.82, 33,830.88 and 13,907.52

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Solution

The fourth proportional to 24,515.82, 33,830.88 and 13,907.52 is: 19,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.82 : 33,830.88 = 13,907.52 : x
  2. Step 2: Convert to fraction form
    24,515.82/33,830.88 = 13,907.52/x
  3. Step 3: Cross multiply
    24,515.82x = 33,830.88 × 13,907.52
  4. Step 4: Simplify right side
    24,515.82x = 470,503,640.22
  5. Step 5: Solve for x
    x = 470,503,640.22/24,515.82
  6. Step 6: Final answer
    x = 19,191.84

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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.