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Finding the Fourth Proportional to 17,299.26, 23,868.05 and 9,742.95

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Solution

The fourth proportional to 17,299.26, 23,868.05 and 9,742.95 is: 13,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,299.26 : 23,868.05 = 9,742.95 : x
  2. Step 2: Convert to fraction form
    17,299.26/23,868.05 = 9,742.95/x
  3. Step 3: Cross multiply
    17,299.26x = 23,868.05 × 9,742.95
  4. Step 4: Simplify right side
    17,299.26x = 232,545,191.41
  5. Step 5: Solve for x
    x = 232,545,191.41/17,299.26
  6. Step 6: Final answer
    x = 13,442.49

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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.