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Finding the Fourth Proportional to 19,735.57, 27,234.76 and 10,782.88

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Solution

The fourth proportional to 19,735.57, 27,234.76 and 10,782.88 is: 14,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735.57 : 27,234.76 = 10,782.88 : x
  2. Step 2: Convert to fraction form
    19,735.57/27,234.76 = 10,782.88/x
  3. Step 3: Cross multiply
    19,735.57x = 27,234.76 × 10,782.88
  4. Step 4: Simplify right side
    19,735.57x = 293,669,148.91
  5. Step 5: Solve for x
    x = 293,669,148.91/19,735.57
  6. Step 6: Final answer
    x = 14,880.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.