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Finding the Fourth Proportional to 19,682.46, 29,490.89 and 14,127.48

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Solution

The fourth proportional to 19,682.46, 29,490.89 and 14,127.48 is: 21,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.46 : 29,490.89 = 14,127.48 : x
  2. Step 2: Convert to fraction form
    19,682.46/29,490.89 = 14,127.48/x
  3. Step 3: Cross multiply
    19,682.46x = 29,490.89 × 14,127.48
  4. Step 4: Simplify right side
    19,682.46x = 416,631,888.02
  5. Step 5: Solve for x
    x = 416,631,888.02/19,682.46
  6. Step 6: Final answer
    x = 21,167.67

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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.