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Finding the Fourth Proportional to 16,226.40, 22,778.40 and 16,226.40

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Solution

The fourth proportional to 16,226.40, 22,778.40 and 16,226.40 is: 22,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.40 : 22,778.40 = 16,226.40 : x
  2. Step 2: Convert to fraction form
    16,226.40/22,778.40 = 16,226.40/x
  3. Step 3: Cross multiply
    16,226.40x = 22,778.40 × 16,226.40
  4. Step 4: Simplify right side
    16,226.40x = 369,611,429.76
  5. Step 5: Solve for x
    x = 369,611,429.76/16,226.40
  6. Step 6: Final answer
    x = 22,778.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.