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Finding the Fourth Proportional to 16,456.80, 22,710.30 and 8,903.16

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Solution

The fourth proportional to 16,456.80, 22,710.30 and 8,903.16 is: 12,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456.80 : 22,710.30 = 8,903.16 : x
  2. Step 2: Convert to fraction form
    16,456.80/22,710.30 = 8,903.16/x
  3. Step 3: Cross multiply
    16,456.80x = 22,710.30 × 8,903.16
  4. Step 4: Simplify right side
    16,456.80x = 202,193,434.55
  5. Step 5: Solve for x
    x = 202,193,434.55/16,456.80
  6. Step 6: Final answer
    x = 12,286.32

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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.