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Finding the Fourth Proportional to 11,206.40, 16,809.60 and 9,977.60

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Solution

The fourth proportional to 11,206.40, 16,809.60 and 9,977.60 is: 14,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.40 : 16,809.60 = 9,977.60 : x
  2. Step 2: Convert to fraction form
    11,206.40/16,809.60 = 9,977.60/x
  3. Step 3: Cross multiply
    11,206.40x = 16,809.60 × 9,977.60
  4. Step 4: Simplify right side
    11,206.40x = 167,719,464.96
  5. Step 5: Solve for x
    x = 167,719,464.96/11,206.40
  6. Step 6: Final answer
    x = 14,966.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.