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Finding the Fourth Proportional to 12,534.46, 18,812.08 and 6,296.26

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Solution

The fourth proportional to 12,534.46, 18,812.08 and 6,296.26 is: 9,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.46 : 18,812.08 = 6,296.26 : x
  2. Step 2: Convert to fraction form
    12,534.46/18,812.08 = 6,296.26/x
  3. Step 3: Cross multiply
    12,534.46x = 18,812.08 × 6,296.26
  4. Step 4: Simplify right side
    12,534.46x = 118,445,684.05
  5. Step 5: Solve for x
    x = 118,445,684.05/12,534.46
  6. Step 6: Final answer
    x = 9,449.60

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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.