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Finding the Fourth Proportional to 16,523.46, 22,808.28 and 9,809.07

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Solution

The fourth proportional to 16,523.46, 22,808.28 and 9,809.07 is: 13,540.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.46 : 22,808.28 = 9,809.07 : x
  2. Step 2: Convert to fraction form
    16,523.46/22,808.28 = 9,809.07/x
  3. Step 3: Cross multiply
    16,523.46x = 22,808.28 × 9,809.07
  4. Step 4: Simplify right side
    16,523.46x = 223,728,015.10
  5. Step 5: Solve for x
    x = 223,728,015.10/16,523.46
  6. Step 6: Final answer
    x = 13,540.02

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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.