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Finding the Fourth Proportional to 16,893, 23,313.78 and 9,442.44

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Solution

The fourth proportional to 16,893, 23,313.78 and 9,442.44 is: 13,031.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893 : 23,313.78 = 9,442.44 : x
  2. Step 2: Convert to fraction form
    16,893/23,313.78 = 9,442.44/x
  3. Step 3: Cross multiply
    16,893x = 23,313.78 × 9,442.44
  4. Step 4: Simplify right side
    16,893x = 220,138,968.82
  5. Step 5: Solve for x
    x = 220,138,968.82/16,893
  6. Step 6: Final answer
    x = 13,031.37

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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.