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Finding the Fourth Proportional to 19,762.56, 29,648.70 and 13,930.56

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Solution

The fourth proportional to 19,762.56, 29,648.70 and 13,930.56 is: 20,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.56 : 29,648.70 = 13,930.56 : x
  2. Step 2: Convert to fraction form
    19,762.56/29,648.70 = 13,930.56/x
  3. Step 3: Cross multiply
    19,762.56x = 29,648.70 × 13,930.56
  4. Step 4: Simplify right side
    19,762.56x = 413,022,994.27
  5. Step 5: Solve for x
    x = 413,022,994.27/19,762.56
  6. Step 6: Final answer
    x = 20,899.27

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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.