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Finding the Fourth Proportional to 16,277.60, 24,408.32 and 5,182.84

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Solution

The fourth proportional to 16,277.60, 24,408.32 and 5,182.84 is: 7,771.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.60 : 24,408.32 = 5,182.84 : x
  2. Step 2: Convert to fraction form
    16,277.60/24,408.32 = 5,182.84/x
  3. Step 3: Cross multiply
    16,277.60x = 24,408.32 × 5,182.84
  4. Step 4: Simplify right side
    16,277.60x = 126,504,417.23
  5. Step 5: Solve for x
    x = 126,504,417.23/16,277.60
  6. Step 6: Final answer
    x = 7,771.69

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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.