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Finding the Fourth Proportional to 17,646, 24,353.64 and 10,194

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Solution

The fourth proportional to 17,646, 24,353.64 and 10,194 is: 14,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646 : 24,353.64 = 10,194 : x
  2. Step 2: Convert to fraction form
    17,646/24,353.64 = 10,194/x
  3. Step 3: Cross multiply
    17,646x = 24,353.64 × 10,194
  4. Step 4: Simplify right side
    17,646x = 248,261,006.16
  5. Step 5: Solve for x
    x = 248,261,006.16/17,646
  6. Step 6: Final answer
    x = 14,068.97

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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.