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Finding the Fourth Proportional to 16,427.60, 24,626.64 and 6,036.80

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Solution

The fourth proportional to 16,427.60, 24,626.64 and 6,036.80 is: 9,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.60 : 24,626.64 = 6,036.80 : x
  2. Step 2: Convert to fraction form
    16,427.60/24,626.64 = 6,036.80/x
  3. Step 3: Cross multiply
    16,427.60x = 24,626.64 × 6,036.80
  4. Step 4: Simplify right side
    16,427.60x = 148,666,100.35
  5. Step 5: Solve for x
    x = 148,666,100.35/16,427.60
  6. Step 6: Final answer
    x = 9,049.78

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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.