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Finding the Fourth Proportional to 16,216.56, 24,328.08 and 5,829.12

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Solution

The fourth proportional to 16,216.56, 24,328.08 and 5,829.12 is: 8,744.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.56 : 24,328.08 = 5,829.12 : x
  2. Step 2: Convert to fraction form
    16,216.56/24,328.08 = 5,829.12/x
  3. Step 3: Cross multiply
    16,216.56x = 24,328.08 × 5,829.12
  4. Step 4: Simplify right side
    16,216.56x = 141,811,297.69
  5. Step 5: Solve for x
    x = 141,811,297.69/16,216.56
  6. Step 6: Final answer
    x = 8,744.84

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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.