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Finding the Fourth Proportional to 17,965.72, 24,783.78 and 12,005.38

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Solution

The fourth proportional to 17,965.72, 24,783.78 and 12,005.38 is: 16,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.72 : 24,783.78 = 12,005.38 : x
  2. Step 2: Convert to fraction form
    17,965.72/24,783.78 = 12,005.38/x
  3. Step 3: Cross multiply
    17,965.72x = 24,783.78 × 12,005.38
  4. Step 4: Simplify right side
    17,965.72x = 297,538,696.74
  5. Step 5: Solve for x
    x = 297,538,696.74/17,965.72
  6. Step 6: Final answer
    x = 16,561.47

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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.