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Finding the Fourth Proportional to 12,374.36, 18,566.40 and 5,444

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Solution

The fourth proportional to 12,374.36, 18,566.40 and 5,444 is: 8,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.36 : 18,566.40 = 5,444 : x
  2. Step 2: Convert to fraction form
    12,374.36/18,566.40 = 5,444/x
  3. Step 3: Cross multiply
    12,374.36x = 18,566.40 × 5,444
  4. Step 4: Simplify right side
    12,374.36x = 101,075,481.60
  5. Step 5: Solve for x
    x = 101,075,481.60/12,374.36
  6. Step 6: Final answer
    x = 8,168.14

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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.