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Finding the Fourth Proportional to 12,384.09, 17,081.96 and 7,344.54

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Solution

The fourth proportional to 12,384.09, 17,081.96 and 7,344.54 is: 10,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.09 : 17,081.96 = 7,344.54 : x
  2. Step 2: Convert to fraction form
    12,384.09/17,081.96 = 7,344.54/x
  3. Step 3: Cross multiply
    12,384.09x = 17,081.96 × 7,344.54
  4. Step 4: Simplify right side
    12,384.09x = 125,459,101.78
  5. Step 5: Solve for x
    x = 125,459,101.78/12,384.09
  6. Step 6: Final answer
    x = 10,130.67

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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.