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Finding the Fourth Proportional to 17,782.65, 26,635.08 and 10,842.57

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Solution

The fourth proportional to 17,782.65, 26,635.08 and 10,842.57 is: 16,240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.65 : 26,635.08 = 10,842.57 : x
  2. Step 2: Convert to fraction form
    17,782.65/26,635.08 = 10,842.57/x
  3. Step 3: Cross multiply
    17,782.65x = 26,635.08 × 10,842.57
  4. Step 4: Simplify right side
    17,782.65x = 288,792,719.36
  5. Step 5: Solve for x
    x = 288,792,719.36/17,782.65
  6. Step 6: Final answer
    x = 16,240.14

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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.