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Finding the Fourth Proportional to 17,894, 24,696.64 and 10,440.56

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Solution

The fourth proportional to 17,894, 24,696.64 and 10,440.56 is: 14,409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894 : 24,696.64 = 10,440.56 : x
  2. Step 2: Convert to fraction form
    17,894/24,696.64 = 10,440.56/x
  3. Step 3: Cross multiply
    17,894x = 24,696.64 × 10,440.56
  4. Step 4: Simplify right side
    17,894x = 257,846,751.72
  5. Step 5: Solve for x
    x = 257,846,751.72/17,894
  6. Step 6: Final answer
    x = 14,409.68

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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.