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Finding the Fourth Proportional to 16,285.60, 22,477.08 and 9,997.12

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Solution

The fourth proportional to 16,285.60, 22,477.08 and 9,997.12 is: 13,797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.60 : 22,477.08 = 9,997.12 : x
  2. Step 2: Convert to fraction form
    16,285.60/22,477.08 = 9,997.12/x
  3. Step 3: Cross multiply
    16,285.60x = 22,477.08 × 9,997.12
  4. Step 4: Simplify right side
    16,285.60x = 224,706,066.01
  5. Step 5: Solve for x
    x = 224,706,066.01/16,285.60
  6. Step 6: Final answer
    x = 13,797.84

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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.