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Finding the Fourth Proportional to 16,003.76, 24,014.26 and 7,795.76

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Solution

The fourth proportional to 16,003.76, 24,014.26 and 7,795.76 is: 11,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.76 : 24,014.26 = 7,795.76 : x
  2. Step 2: Convert to fraction form
    16,003.76/24,014.26 = 7,795.76/x
  3. Step 3: Cross multiply
    16,003.76x = 24,014.26 × 7,795.76
  4. Step 4: Simplify right side
    16,003.76x = 187,209,407.54
  5. Step 5: Solve for x
    x = 187,209,407.54/16,003.76
  6. Step 6: Final answer
    x = 11,697.84

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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.