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Finding the Fourth Proportional to 20,038.20, 29,999.70 and 19,462.20

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Solution

The fourth proportional to 20,038.20, 29,999.70 and 19,462.20 is: 29,137.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.20 : 29,999.70 = 19,462.20 : x
  2. Step 2: Convert to fraction form
    20,038.20/29,999.70 = 19,462.20/x
  3. Step 3: Cross multiply
    20,038.20x = 29,999.70 × 19,462.20
  4. Step 4: Simplify right side
    20,038.20x = 583,860,161.34
  5. Step 5: Solve for x
    x = 583,860,161.34/20,038.20
  6. Step 6: Final answer
    x = 29,137.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.