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Finding the Fourth Proportional to 16,576.16, 22,875.44 and 9,022.91

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Solution

The fourth proportional to 16,576.16, 22,875.44 and 9,022.91 is: 12,451.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.16 : 22,875.44 = 9,022.91 : x
  2. Step 2: Convert to fraction form
    16,576.16/22,875.44 = 9,022.91/x
  3. Step 3: Cross multiply
    16,576.16x = 22,875.44 × 9,022.91
  4. Step 4: Simplify right side
    16,576.16x = 206,402,876.84
  5. Step 5: Solve for x
    x = 206,402,876.84/16,576.16
  6. Step 6: Final answer
    x = 12,451.79

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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.