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Finding the Fourth Proportional to 16,970, 23,418.64 and 10,346

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Solution

The fourth proportional to 16,970, 23,418.64 and 10,346 is: 14,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970 : 23,418.64 = 10,346 : x
  2. Step 2: Convert to fraction form
    16,970/23,418.64 = 10,346/x
  3. Step 3: Cross multiply
    16,970x = 23,418.64 × 10,346
  4. Step 4: Simplify right side
    16,970x = 242,289,249.44
  5. Step 5: Solve for x
    x = 242,289,249.44/16,970
  6. Step 6: Final answer
    x = 14,277.50

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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.