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Finding the Fourth Proportional to 16,827.20, 23,512 and 16,827.20

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Solution

The fourth proportional to 16,827.20, 23,512 and 16,827.20 is: 23,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.20 : 23,512 = 16,827.20 : x
  2. Step 2: Convert to fraction form
    16,827.20/23,512 = 16,827.20/x
  3. Step 3: Cross multiply
    16,827.20x = 23,512 × 16,827.20
  4. Step 4: Simplify right side
    16,827.20x = 395,641,126.40
  5. Step 5: Solve for x
    x = 395,641,126.40/16,827.20
  6. Step 6: Final answer
    x = 23,512

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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.