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Finding the Fourth Proportional to 17,546.40, 26,377.20 and 16,509.60

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Solution

The fourth proportional to 17,546.40, 26,377.20 and 16,509.60 is: 24,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.40 : 26,377.20 = 16,509.60 : x
  2. Step 2: Convert to fraction form
    17,546.40/26,377.20 = 16,509.60/x
  3. Step 3: Cross multiply
    17,546.40x = 26,377.20 × 16,509.60
  4. Step 4: Simplify right side
    17,546.40x = 435,477,021.12
  5. Step 5: Solve for x
    x = 435,477,021.12/17,546.40
  6. Step 6: Final answer
    x = 24,818.60

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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.