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Finding the Fourth Proportional to 19,686.37, 29,512.82 and 9,162.50

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Solution

The fourth proportional to 19,686.37, 29,512.82 and 9,162.50 is: 13,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.37 : 29,512.82 = 9,162.50 : x
  2. Step 2: Convert to fraction form
    19,686.37/29,512.82 = 9,162.50/x
  3. Step 3: Cross multiply
    19,686.37x = 29,512.82 × 9,162.50
  4. Step 4: Simplify right side
    19,686.37x = 270,411,162.37
  5. Step 5: Solve for x
    x = 270,411,162.37/19,686.37
  6. Step 6: Final answer
    x = 13,735.96

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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.