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Finding the Fourth Proportional to 16,540.13, 22,826.40 and 9,466.40

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Solution

The fourth proportional to 16,540.13, 22,826.40 and 9,466.40 is: 13,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.13 : 22,826.40 = 9,466.40 : x
  2. Step 2: Convert to fraction form
    16,540.13/22,826.40 = 9,466.40/x
  3. Step 3: Cross multiply
    16,540.13x = 22,826.40 × 9,466.40
  4. Step 4: Simplify right side
    16,540.13x = 216,083,832.96
  5. Step 5: Solve for x
    x = 216,083,832.96/16,540.13
  6. Step 6: Final answer
    x = 13,064.22

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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.