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Finding the Fourth Proportional to 19,758.15, 29,606.93 and 13,424.96

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Solution

The fourth proportional to 19,758.15, 29,606.93 and 13,424.96 is: 20,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.15 : 29,606.93 = 13,424.96 : x
  2. Step 2: Convert to fraction form
    19,758.15/29,606.93 = 13,424.96/x
  3. Step 3: Cross multiply
    19,758.15x = 29,606.93 × 13,424.96
  4. Step 4: Simplify right side
    19,758.15x = 397,471,820.86
  5. Step 5: Solve for x
    x = 397,471,820.86/19,758.15
  6. Step 6: Final answer
    x = 20,116.86

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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.