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Finding the Fourth Proportional to 19,805.94, 29,713.34 and 6,657.95

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Solution

The fourth proportional to 19,805.94, 29,713.34 and 6,657.95 is: 9,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,805.94 : 29,713.34 = 6,657.95 : x
  2. Step 2: Convert to fraction form
    19,805.94/29,713.34 = 6,657.95/x
  3. Step 3: Cross multiply
    19,805.94x = 29,713.34 × 6,657.95
  4. Step 4: Simplify right side
    19,805.94x = 197,830,022.98
  5. Step 5: Solve for x
    x = 197,830,022.98/19,805.94
  6. Step 6: Final answer
    x = 9,988.42

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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.