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Finding the Fourth Proportional to 20,762.34, 31,142.50 and 11,420.62

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Solution

The fourth proportional to 20,762.34, 31,142.50 and 11,420.62 is: 17,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.34 : 31,142.50 = 11,420.62 : x
  2. Step 2: Convert to fraction form
    20,762.34/31,142.50 = 11,420.62/x
  3. Step 3: Cross multiply
    20,762.34x = 31,142.50 × 11,420.62
  4. Step 4: Simplify right side
    20,762.34x = 355,666,658.35
  5. Step 5: Solve for x
    x = 355,666,658.35/20,762.34
  6. Step 6: Final answer
    x = 17,130.37

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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.