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Finding the Fourth Proportional to 12,243.46, 16,898.32 and 6,938.50

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Solution

The fourth proportional to 12,243.46, 16,898.32 and 6,938.50 is: 9,576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.46 : 16,898.32 = 6,938.50 : x
  2. Step 2: Convert to fraction form
    12,243.46/16,898.32 = 6,938.50/x
  3. Step 3: Cross multiply
    12,243.46x = 16,898.32 × 6,938.50
  4. Step 4: Simplify right side
    12,243.46x = 117,248,993.32
  5. Step 5: Solve for x
    x = 117,248,993.32/12,243.46
  6. Step 6: Final answer
    x = 9,576.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.