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Finding the Fourth Proportional to 25,097.85, 34,636.32 and 13,767.84

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Solution

The fourth proportional to 25,097.85, 34,636.32 and 13,767.84 is: 19,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.85 : 34,636.32 = 13,767.84 : x
  2. Step 2: Convert to fraction form
    25,097.85/34,636.32 = 13,767.84/x
  3. Step 3: Cross multiply
    25,097.85x = 34,636.32 × 13,767.84
  4. Step 4: Simplify right side
    25,097.85x = 476,867,311.95
  5. Step 5: Solve for x
    x = 476,867,311.95/25,097.85
  6. Step 6: Final answer
    x = 19,000.33

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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.