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Finding the Fourth Proportional to 16,576.85, 22,876.53 and 9,406.63

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Solution

The fourth proportional to 16,576.85, 22,876.53 and 9,406.63 is: 12,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.85 : 22,876.53 = 9,406.63 : x
  2. Step 2: Convert to fraction form
    16,576.85/22,876.53 = 9,406.63/x
  3. Step 3: Cross multiply
    16,576.85x = 22,876.53 × 9,406.63
  4. Step 4: Simplify right side
    16,576.85x = 215,191,046.71
  5. Step 5: Solve for x
    x = 215,191,046.71/16,576.85
  6. Step 6: Final answer
    x = 12,981.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.