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Finding the Fourth Proportional to 17,849.36, 26,771.74 and 4,702.74

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Solution

The fourth proportional to 17,849.36, 26,771.74 and 4,702.74 is: 7,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,849.36 : 26,771.74 = 4,702.74 : x
  2. Step 2: Convert to fraction form
    17,849.36/26,771.74 = 4,702.74/x
  3. Step 3: Cross multiply
    17,849.36x = 26,771.74 × 4,702.74
  4. Step 4: Simplify right side
    17,849.36x = 125,900,532.57
  5. Step 5: Solve for x
    x = 125,900,532.57/17,849.36
  6. Step 6: Final answer
    x = 7,053.50

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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.