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Finding the Fourth Proportional to 12,989.18, 19,482.15 and 5,198.06

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Solution

The fourth proportional to 12,989.18, 19,482.15 and 5,198.06 is: 7,796.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,989.18 : 19,482.15 = 5,198.06 : x
  2. Step 2: Convert to fraction form
    12,989.18/19,482.15 = 5,198.06/x
  3. Step 3: Cross multiply
    12,989.18x = 19,482.15 × 5,198.06
  4. Step 4: Simplify right side
    12,989.18x = 101,269,384.63
  5. Step 5: Solve for x
    x = 101,269,384.63/12,989.18
  6. Step 6: Final answer
    x = 7,796.44

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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.