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Finding the Fourth Proportional to 12,503.81, 17,255.34 and 6,838.67

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Solution

The fourth proportional to 12,503.81, 17,255.34 and 6,838.67 is: 9,437.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.81 : 17,255.34 = 6,838.67 : x
  2. Step 2: Convert to fraction form
    12,503.81/17,255.34 = 6,838.67/x
  3. Step 3: Cross multiply
    12,503.81x = 17,255.34 × 6,838.67
  4. Step 4: Simplify right side
    12,503.81x = 118,003,489.72
  5. Step 5: Solve for x
    x = 118,003,489.72/12,503.81
  6. Step 6: Final answer
    x = 9,437.41

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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.