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Finding the Fourth Proportional to 17,156.28, 23,674.86 and 9,702.84

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Solution

The fourth proportional to 17,156.28, 23,674.86 and 9,702.84 is: 13,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,156.28 : 23,674.86 = 9,702.84 : x
  2. Step 2: Convert to fraction form
    17,156.28/23,674.86 = 9,702.84/x
  3. Step 3: Cross multiply
    17,156.28x = 23,674.86 × 9,702.84
  4. Step 4: Simplify right side
    17,156.28x = 229,713,378.60
  5. Step 5: Solve for x
    x = 229,713,378.60/17,156.28
  6. Step 6: Final answer
    x = 13,389.46

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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.