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Finding the Fourth Proportional to 19,682.28, 29,475.50 and 13,014.63

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Solution

The fourth proportional to 19,682.28, 29,475.50 and 13,014.63 is: 19,490.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.28 : 29,475.50 = 13,014.63 : x
  2. Step 2: Convert to fraction form
    19,682.28/29,475.50 = 13,014.63/x
  3. Step 3: Cross multiply
    19,682.28x = 29,475.50 × 13,014.63
  4. Step 4: Simplify right side
    19,682.28x = 383,612,661.49
  5. Step 5: Solve for x
    x = 383,612,661.49/19,682.28
  6. Step 6: Final answer
    x = 19,490.26

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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.