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Finding the Fourth Proportional to 11,920.32, 16,450.17 and 6,615.63

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Solution

The fourth proportional to 11,920.32, 16,450.17 and 6,615.63 is: 9,129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.32 : 16,450.17 = 6,615.63 : x
  2. Step 2: Convert to fraction form
    11,920.32/16,450.17 = 6,615.63/x
  3. Step 3: Cross multiply
    11,920.32x = 16,450.17 × 6,615.63
  4. Step 4: Simplify right side
    11,920.32x = 108,828,238.16
  5. Step 5: Solve for x
    x = 108,828,238.16/11,920.32
  6. Step 6: Final answer
    x = 9,129.64

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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.