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Finding the Fourth Proportional to 19,586.28, 29,384.27 and 9,185.88

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Solution

The fourth proportional to 19,586.28, 29,384.27 and 9,185.88 is: 13,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.28 : 29,384.27 = 9,185.88 : x
  2. Step 2: Convert to fraction form
    19,586.28/29,384.27 = 9,185.88/x
  3. Step 3: Cross multiply
    19,586.28x = 29,384.27 × 9,185.88
  4. Step 4: Simplify right side
    19,586.28x = 269,920,378.11
  5. Step 5: Solve for x
    x = 269,920,378.11/19,586.28
  6. Step 6: Final answer
    x = 13,781.09

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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.