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Finding the Fourth Proportional to 12,296.17, 18,444.22 and 5,271.64

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Solution

The fourth proportional to 12,296.17, 18,444.22 and 5,271.64 is: 7,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.17 : 18,444.22 = 5,271.64 : x
  2. Step 2: Convert to fraction form
    12,296.17/18,444.22 = 5,271.64/x
  3. Step 3: Cross multiply
    12,296.17x = 18,444.22 × 5,271.64
  4. Step 4: Simplify right side
    12,296.17x = 97,231,228.63
  5. Step 5: Solve for x
    x = 97,231,228.63/12,296.17
  6. Step 6: Final answer
    x = 7,907.44

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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.