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Finding the Fourth Proportional to 16,477.20, 24,704.88 and 9,085.20

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Solution

The fourth proportional to 16,477.20, 24,704.88 and 9,085.20 is: 13,621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.20 : 24,704.88 = 9,085.20 : x
  2. Step 2: Convert to fraction form
    16,477.20/24,704.88 = 9,085.20/x
  3. Step 3: Cross multiply
    16,477.20x = 24,704.88 × 9,085.20
  4. Step 4: Simplify right side
    16,477.20x = 224,448,775.78
  5. Step 5: Solve for x
    x = 224,448,775.78/16,477.20
  6. Step 6: Final answer
    x = 13,621.78

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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.