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Finding the Fourth Proportional to 19,586.16, 29,379 and 9,190.56

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Solution

The fourth proportional to 19,586.16, 29,379 and 9,190.56 is: 13,785.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.16 : 29,379 = 9,190.56 : x
  2. Step 2: Convert to fraction form
    19,586.16/29,379 = 9,190.56/x
  3. Step 3: Cross multiply
    19,586.16x = 29,379 × 9,190.56
  4. Step 4: Simplify right side
    19,586.16x = 270,009,462.24
  5. Step 5: Solve for x
    x = 270,009,462.24/19,586.16
  6. Step 6: Final answer
    x = 13,785.73

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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.