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Finding the Fourth Proportional to 16,527.43, 22,807.47 and 8,973.78

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Solution

The fourth proportional to 16,527.43, 22,807.47 and 8,973.78 is: 12,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,527.43 : 22,807.47 = 8,973.78 : x
  2. Step 2: Convert to fraction form
    16,527.43/22,807.47 = 8,973.78/x
  3. Step 3: Cross multiply
    16,527.43x = 22,807.47 × 8,973.78
  4. Step 4: Simplify right side
    16,527.43x = 204,669,218.14
  5. Step 5: Solve for x
    x = 204,669,218.14/16,527.43
  6. Step 6: Final answer
    x = 12,383.61

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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.