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Finding the Fourth Proportional to 16,690.32, 23,029.11 and 9,614.16

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Solution

The fourth proportional to 16,690.32, 23,029.11 and 9,614.16 is: 13,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.32 : 23,029.11 = 9,614.16 : x
  2. Step 2: Convert to fraction form
    16,690.32/23,029.11 = 9,614.16/x
  3. Step 3: Cross multiply
    16,690.32x = 23,029.11 × 9,614.16
  4. Step 4: Simplify right side
    16,690.32x = 221,405,548.20
  5. Step 5: Solve for x
    x = 221,405,548.20/16,690.32
  6. Step 6: Final answer
    x = 13,265.51

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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.