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Finding the Fourth Proportional to 19,185.75, 28,780.19 and 6,705.50

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Solution

The fourth proportional to 19,185.75, 28,780.19 and 6,705.50 is: 10,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,185.75 : 28,780.19 = 6,705.50 : x
  2. Step 2: Convert to fraction form
    19,185.75/28,780.19 = 6,705.50/x
  3. Step 3: Cross multiply
    19,185.75x = 28,780.19 × 6,705.50
  4. Step 4: Simplify right side
    19,185.75x = 192,985,386.62
  5. Step 5: Solve for x
    x = 192,985,386.62/19,185.75
  6. Step 6: Final answer
    x = 10,058.79

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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.