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Finding the Fourth Proportional to 16,409.88, 24,564.60 and 13,260.60

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Solution

The fourth proportional to 16,409.88, 24,564.60 and 13,260.60 is: 19,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.88 : 24,564.60 = 13,260.60 : x
  2. Step 2: Convert to fraction form
    16,409.88/24,564.60 = 13,260.60/x
  3. Step 3: Cross multiply
    16,409.88x = 24,564.60 × 13,260.60
  4. Step 4: Simplify right side
    16,409.88x = 325,741,334.76
  5. Step 5: Solve for x
    x = 325,741,334.76/16,409.88
  6. Step 6: Final answer
    x = 19,850.32

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Why These Related Problems?

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