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Finding the Fourth Proportional to 16,025.84, 22,137 and 12,893.84

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Solution

The fourth proportional to 16,025.84, 22,137 and 12,893.84 is: 17,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,025.84 : 22,137 = 12,893.84 : x
  2. Step 2: Convert to fraction form
    16,025.84/22,137 = 12,893.84/x
  3. Step 3: Cross multiply
    16,025.84x = 22,137 × 12,893.84
  4. Step 4: Simplify right side
    16,025.84x = 285,430,936.08
  5. Step 5: Solve for x
    x = 285,430,936.08/16,025.84
  6. Step 6: Final answer
    x = 17,810.67

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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.