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Finding the Fourth Proportional to 12,325.33, 18,496.18 and 4,534.14

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Solution

The fourth proportional to 12,325.33, 18,496.18 and 4,534.14 is: 6,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,325.33 : 18,496.18 = 4,534.14 : x
  2. Step 2: Convert to fraction form
    12,325.33/18,496.18 = 4,534.14/x
  3. Step 3: Cross multiply
    12,325.33x = 18,496.18 × 4,534.14
  4. Step 4: Simplify right side
    12,325.33x = 83,864,266.58
  5. Step 5: Solve for x
    x = 83,864,266.58/12,325.33
  6. Step 6: Final answer
    x = 6,804.22

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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.