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Finding the Fourth Proportional to 16,028.20, 24,024.30 and 7,712.20

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Solution

The fourth proportional to 16,028.20, 24,024.30 and 7,712.20 is: 11,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,028.20 : 24,024.30 = 7,712.20 : x
  2. Step 2: Convert to fraction form
    16,028.20/24,024.30 = 7,712.20/x
  3. Step 3: Cross multiply
    16,028.20x = 24,024.30 × 7,712.20
  4. Step 4: Simplify right side
    16,028.20x = 185,280,206.46
  5. Step 5: Solve for x
    x = 185,280,206.46/16,028.20
  6. Step 6: Final answer
    x = 11,559.64

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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.