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Finding the Fourth Proportional to 16,564.14, 22,857.84 and 9,485.64

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Solution

The fourth proportional to 16,564.14, 22,857.84 and 9,485.64 is: 13,089.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.14 : 22,857.84 = 9,485.64 : x
  2. Step 2: Convert to fraction form
    16,564.14/22,857.84 = 9,485.64/x
  3. Step 3: Cross multiply
    16,564.14x = 22,857.84 × 9,485.64
  4. Step 4: Simplify right side
    16,564.14x = 216,821,241.42
  5. Step 5: Solve for x
    x = 216,821,241.42/16,564.14
  6. Step 6: Final answer
    x = 13,089.80

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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.