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Finding the Fourth Proportional to 12,129.48, 16,738.72 and 6,824.39

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Solution

The fourth proportional to 12,129.48, 16,738.72 and 6,824.39 is: 9,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.48 : 16,738.72 = 6,824.39 : x
  2. Step 2: Convert to fraction form
    12,129.48/16,738.72 = 6,824.39/x
  3. Step 3: Cross multiply
    12,129.48x = 16,738.72 × 6,824.39
  4. Step 4: Simplify right side
    12,129.48x = 114,231,452.63
  5. Step 5: Solve for x
    x = 114,231,452.63/12,129.48
  6. Step 6: Final answer
    x = 9,417.67

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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.