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Finding the Fourth Proportional to 12,818.34, 19,204.40 and 12,046.37

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Solution

The fourth proportional to 12,818.34, 19,204.40 and 12,046.37 is: 18,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,818.34 : 19,204.40 = 12,046.37 : x
  2. Step 2: Convert to fraction form
    12,818.34/19,204.40 = 12,046.37/x
  3. Step 3: Cross multiply
    12,818.34x = 19,204.40 × 12,046.37
  4. Step 4: Simplify right side
    12,818.34x = 231,343,242.12
  5. Step 5: Solve for x
    x = 231,343,242.12/12,818.34
  6. Step 6: Final answer
    x = 18,047.83

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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.