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Finding the Fourth Proportional to 24,289.56, 36,434.88 and 11,133

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Solution

The fourth proportional to 24,289.56, 36,434.88 and 11,133 is: 16,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,289.56 : 36,434.88 = 11,133 : x
  2. Step 2: Convert to fraction form
    24,289.56/36,434.88 = 11,133/x
  3. Step 3: Cross multiply
    24,289.56x = 36,434.88 × 11,133
  4. Step 4: Simplify right side
    24,289.56x = 405,629,519.04
  5. Step 5: Solve for x
    x = 405,629,519.04/24,289.56
  6. Step 6: Final answer
    x = 16,699.75

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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.