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Finding the Fourth Proportional to 11,955.20, 16,513.92 and 9,155.84

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Solution

The fourth proportional to 11,955.20, 16,513.92 and 9,155.84 is: 12,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.20 : 16,513.92 = 9,155.84 : x
  2. Step 2: Convert to fraction form
    11,955.20/16,513.92 = 9,155.84/x
  3. Step 3: Cross multiply
    11,955.20x = 16,513.92 × 9,155.84
  4. Step 4: Simplify right side
    11,955.20x = 151,198,809.29
  5. Step 5: Solve for x
    x = 151,198,809.29/11,955.20
  6. Step 6: Final answer
    x = 12,647.12

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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.