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Finding the Fourth Proportional to 16,003.76, 23,989.44 and 7,671.56

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Solution

The fourth proportional to 16,003.76, 23,989.44 and 7,671.56 is: 11,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.76 : 23,989.44 = 7,671.56 : x
  2. Step 2: Convert to fraction form
    16,003.76/23,989.44 = 7,671.56/x
  3. Step 3: Cross multiply
    16,003.76x = 23,989.44 × 7,671.56
  4. Step 4: Simplify right side
    16,003.76x = 184,036,428.33
  5. Step 5: Solve for x
    x = 184,036,428.33/16,003.76
  6. Step 6: Final answer
    x = 11,499.57

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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.