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Finding the Fourth Proportional to 19,586.90, 29,385.21 and 9,186.50

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Solution

The fourth proportional to 19,586.90, 29,385.21 and 9,186.50 is: 13,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.90 : 29,385.21 = 9,186.50 : x
  2. Step 2: Convert to fraction form
    19,586.90/29,385.21 = 9,186.50/x
  3. Step 3: Cross multiply
    19,586.90x = 29,385.21 × 9,186.50
  4. Step 4: Simplify right side
    19,586.90x = 269,947,231.67
  5. Step 5: Solve for x
    x = 269,947,231.67/19,586.90
  6. Step 6: Final answer
    x = 13,782.03

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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.