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Finding the Fourth Proportional to 13,257.70, 18,295.74 and 7,289.41

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Solution

The fourth proportional to 13,257.70, 18,295.74 and 7,289.41 is: 10,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.70 : 18,295.74 = 7,289.41 : x
  2. Step 2: Convert to fraction form
    13,257.70/18,295.74 = 7,289.41/x
  3. Step 3: Cross multiply
    13,257.70x = 18,295.74 × 7,289.41
  4. Step 4: Simplify right side
    13,257.70x = 133,365,150.11
  5. Step 5: Solve for x
    x = 133,365,150.11/13,257.70
  6. Step 6: Final answer
    x = 10,059.45

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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.