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Finding the Fourth Proportional to 13,283.90, 18,332.18 and 7,234.54

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Solution

The fourth proportional to 13,283.90, 18,332.18 and 7,234.54 is: 9,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283.90 : 18,332.18 = 7,234.54 : x
  2. Step 2: Convert to fraction form
    13,283.90/18,332.18 = 7,234.54/x
  3. Step 3: Cross multiply
    13,283.90x = 18,332.18 × 7,234.54
  4. Step 4: Simplify right side
    13,283.90x = 132,624,889.50
  5. Step 5: Solve for x
    x = 132,624,889.50/13,283.90
  6. Step 6: Final answer
    x = 9,983.88

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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.