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Finding the Fourth Proportional to 17,704.60, 26,544.59 and 7,838.49

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Solution

The fourth proportional to 17,704.60, 26,544.59 and 7,838.49 is: 11,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.60 : 26,544.59 = 7,838.49 : x
  2. Step 2: Convert to fraction form
    17,704.60/26,544.59 = 7,838.49/x
  3. Step 3: Cross multiply
    17,704.60x = 26,544.59 × 7,838.49
  4. Step 4: Simplify right side
    17,704.60x = 208,069,503.27
  5. Step 5: Solve for x
    x = 208,069,503.27/17,704.60
  6. Step 6: Final answer
    x = 11,752.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.