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Finding the Fourth Proportional to 19,778.45, 29,675.43 and 8,677.40

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Solution

The fourth proportional to 19,778.45, 29,675.43 and 8,677.40 is: 13,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.45 : 29,675.43 = 8,677.40 : x
  2. Step 2: Convert to fraction form
    19,778.45/29,675.43 = 8,677.40/x
  3. Step 3: Cross multiply
    19,778.45x = 29,675.43 × 8,677.40
  4. Step 4: Simplify right side
    19,778.45x = 257,505,427.90
  5. Step 5: Solve for x
    x = 257,505,427.90/19,778.45
  6. Step 6: Final answer
    x = 13,019.50

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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.