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Finding the Fourth Proportional to 16,266.81, 24,410.24 and 7,502.41

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Solution

The fourth proportional to 16,266.81, 24,410.24 and 7,502.41 is: 11,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,266.81 : 24,410.24 = 7,502.41 : x
  2. Step 2: Convert to fraction form
    16,266.81/24,410.24 = 7,502.41/x
  3. Step 3: Cross multiply
    16,266.81x = 24,410.24 × 7,502.41
  4. Step 4: Simplify right side
    16,266.81x = 183,135,628.68
  5. Step 5: Solve for x
    x = 183,135,628.68/16,266.81
  6. Step 6: Final answer
    x = 11,258.24

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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.