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Finding the Fourth Proportional to 12,427.60, 18,646.80 and 6,271.60

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Solution

The fourth proportional to 12,427.60, 18,646.80 and 6,271.60 is: 9,410.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.60 : 18,646.80 = 6,271.60 : x
  2. Step 2: Convert to fraction form
    12,427.60/18,646.80 = 6,271.60/x
  3. Step 3: Cross multiply
    12,427.60x = 18,646.80 × 6,271.60
  4. Step 4: Simplify right side
    12,427.60x = 116,945,270.88
  5. Step 5: Solve for x
    x = 116,945,270.88/12,427.60
  6. Step 6: Final answer
    x = 9,410.13

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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.