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Finding the Fourth Proportional to 12,891.63, 19,337.45 and 3,657.63

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Solution

The fourth proportional to 12,891.63, 19,337.45 and 3,657.63 is: 5,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.63 : 19,337.45 = 3,657.63 : x
  2. Step 2: Convert to fraction form
    12,891.63/19,337.45 = 3,657.63/x
  3. Step 3: Cross multiply
    12,891.63x = 19,337.45 × 3,657.63
  4. Step 4: Simplify right side
    12,891.63x = 70,729,237.24
  5. Step 5: Solve for x
    x = 70,729,237.24/12,891.63
  6. Step 6: Final answer
    x = 5,486.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.