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Finding the Fourth Proportional to 16,540.56, 22,827.84 and 9,468

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Solution

The fourth proportional to 16,540.56, 22,827.84 and 9,468 is: 13,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.56 : 22,827.84 = 9,468 : x
  2. Step 2: Convert to fraction form
    16,540.56/22,827.84 = 9,468/x
  3. Step 3: Cross multiply
    16,540.56x = 22,827.84 × 9,468
  4. Step 4: Simplify right side
    16,540.56x = 216,133,989.12
  5. Step 5: Solve for x
    x = 216,133,989.12/16,540.56
  6. Step 6: Final answer
    x = 13,066.91

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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.