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Finding the Fourth Proportional to 16,336, 22,556.38 and 12,553.20

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Solution

The fourth proportional to 16,336, 22,556.38 and 12,553.20 is: 17,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,336 : 22,556.38 = 12,553.20 : x
  2. Step 2: Convert to fraction form
    16,336/22,556.38 = 12,553.20/x
  3. Step 3: Cross multiply
    16,336x = 22,556.38 × 12,553.20
  4. Step 4: Simplify right side
    16,336x = 283,154,749.42
  5. Step 5: Solve for x
    x = 283,154,749.42/16,336
  6. Step 6: Final answer
    x = 17,333.18

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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.