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Finding the Fourth Proportional to 16,370.82, 24,518.86 and 9,783.49

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Solution

The fourth proportional to 16,370.82, 24,518.86 and 9,783.49 is: 14,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,370.82 : 24,518.86 = 9,783.49 : x
  2. Step 2: Convert to fraction form
    16,370.82/24,518.86 = 9,783.49/x
  3. Step 3: Cross multiply
    16,370.82x = 24,518.86 × 9,783.49
  4. Step 4: Simplify right side
    16,370.82x = 239,880,021.62
  5. Step 5: Solve for x
    x = 239,880,021.62/16,370.82
  6. Step 6: Final answer
    x = 14,652.90

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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.