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Finding the Fourth Proportional to 16,472.12, 22,731.30 and 9,020.12

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Solution

The fourth proportional to 16,472.12, 22,731.30 and 9,020.12 is: 12,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,472.12 : 22,731.30 = 9,020.12 : x
  2. Step 2: Convert to fraction form
    16,472.12/22,731.30 = 9,020.12/x
  3. Step 3: Cross multiply
    16,472.12x = 22,731.30 × 9,020.12
  4. Step 4: Simplify right side
    16,472.12x = 205,039,053.76
  5. Step 5: Solve for x
    x = 205,039,053.76/16,472.12
  6. Step 6: Final answer
    x = 12,447.64

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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.