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Finding the Fourth Proportional to 16,828.70, 23,514.10 and 16,828.70

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Solution

The fourth proportional to 16,828.70, 23,514.10 and 16,828.70 is: 23,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,828.70 : 23,514.10 = 16,828.70 : x
  2. Step 2: Convert to fraction form
    16,828.70/23,514.10 = 16,828.70/x
  3. Step 3: Cross multiply
    16,828.70x = 23,514.10 × 16,828.70
  4. Step 4: Simplify right side
    16,828.70x = 395,711,734.67
  5. Step 5: Solve for x
    x = 395,711,734.67/16,828.70
  6. Step 6: Final answer
    x = 23,514.10

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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.