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Finding the Fourth Proportional to 16,277.40, 24,416.10 and 8,485.20

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Solution

The fourth proportional to 16,277.40, 24,416.10 and 8,485.20 is: 12,727.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.40 : 24,416.10 = 8,485.20 : x
  2. Step 2: Convert to fraction form
    16,277.40/24,416.10 = 8,485.20/x
  3. Step 3: Cross multiply
    16,277.40x = 24,416.10 × 8,485.20
  4. Step 4: Simplify right side
    16,277.40x = 207,175,491.72
  5. Step 5: Solve for x
    x = 207,175,491.72/16,277.40
  6. Step 6: Final answer
    x = 12,727.80

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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.