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Finding the Fourth Proportional to 13,353.50, 18,429.46 and 7,764.50

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Solution

The fourth proportional to 13,353.50, 18,429.46 and 7,764.50 is: 10,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,353.50 : 18,429.46 = 7,764.50 : x
  2. Step 2: Convert to fraction form
    13,353.50/18,429.46 = 7,764.50/x
  3. Step 3: Cross multiply
    13,353.50x = 18,429.46 × 7,764.50
  4. Step 4: Simplify right side
    13,353.50x = 143,095,542.17
  5. Step 5: Solve for x
    x = 143,095,542.17/13,353.50
  6. Step 6: Final answer
    x = 10,715.96

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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.