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Finding the Fourth Proportional to 17,728.60, 24,466.54 and 9,771.56

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Solution

The fourth proportional to 17,728.60, 24,466.54 and 9,771.56 is: 13,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.60 : 24,466.54 = 9,771.56 : x
  2. Step 2: Convert to fraction form
    17,728.60/24,466.54 = 9,771.56/x
  3. Step 3: Cross multiply
    17,728.60x = 24,466.54 × 9,771.56
  4. Step 4: Simplify right side
    17,728.60x = 239,076,263.60
  5. Step 5: Solve for x
    x = 239,076,263.60/17,728.60
  6. Step 6: Final answer
    x = 13,485.34

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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.