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Finding the Fourth Proportional to 16,003.98, 23,999.90 and 7,681.64

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Solution

The fourth proportional to 16,003.98, 23,999.90 and 7,681.64 is: 11,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.98 : 23,999.90 = 7,681.64 : x
  2. Step 2: Convert to fraction form
    16,003.98/23,999.90 = 7,681.64/x
  3. Step 3: Cross multiply
    16,003.98x = 23,999.90 × 7,681.64
  4. Step 4: Simplify right side
    16,003.98x = 184,358,433.43
  5. Step 5: Solve for x
    x = 184,358,433.43/16,003.98
  6. Step 6: Final answer
    x = 11,519.54

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1.5x scale

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.