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Finding the Fourth Proportional to 19,762.22, 29,627.92 and 13,420.38

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Solution

The fourth proportional to 19,762.22, 29,627.92 and 13,420.38 is: 20,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.22 : 29,627.92 = 13,420.38 : x
  2. Step 2: Convert to fraction form
    19,762.22/29,627.92 = 13,420.38/x
  3. Step 3: Cross multiply
    19,762.22x = 29,627.92 × 13,420.38
  4. Step 4: Simplify right side
    19,762.22x = 397,617,945.01
  5. Step 5: Solve for x
    x = 397,617,945.01/19,762.22
  6. Step 6: Final answer
    x = 20,120.11

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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.