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Finding the Fourth Proportional to 12,016.79, 16,577.16 and 7,771.48

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Solution

The fourth proportional to 12,016.79, 16,577.16 and 7,771.48 is: 10,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,016.79 : 16,577.16 = 7,771.48 : x
  2. Step 2: Convert to fraction form
    12,016.79/16,577.16 = 7,771.48/x
  3. Step 3: Cross multiply
    12,016.79x = 16,577.16 × 7,771.48
  4. Step 4: Simplify right side
    12,016.79x = 128,828,996.81
  5. Step 5: Solve for x
    x = 128,828,996.81/12,016.79
  6. Step 6: Final answer
    x = 10,720.75

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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.