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Finding the Fourth Proportional to 16,009.13, 24,015.51 and 8,219.76

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Solution

The fourth proportional to 16,009.13, 24,015.51 and 8,219.76 is: 12,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.13 : 24,015.51 = 8,219.76 : x
  2. Step 2: Convert to fraction form
    16,009.13/24,015.51 = 8,219.76/x
  3. Step 3: Cross multiply
    16,009.13x = 24,015.51 × 8,219.76
  4. Step 4: Simplify right side
    16,009.13x = 197,401,728.48
  5. Step 5: Solve for x
    x = 197,401,728.48/16,009.13
  6. Step 6: Final answer
    x = 12,330.58

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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.