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Finding the Fourth Proportional to 17,380.71, 23,986.76 and 9,828.61

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Solution

The fourth proportional to 17,380.71, 23,986.76 and 9,828.61 is: 13,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,380.71 : 23,986.76 = 9,828.61 : x
  2. Step 2: Convert to fraction form
    17,380.71/23,986.76 = 9,828.61/x
  3. Step 3: Cross multiply
    17,380.71x = 23,986.76 × 9,828.61
  4. Step 4: Simplify right side
    17,380.71x = 235,756,400.09
  5. Step 5: Solve for x
    x = 235,756,400.09/17,380.71
  6. Step 6: Final answer
    x = 13,564.26

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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.