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Finding the Fourth Proportional to 17,206.80, 23,747.18 and 9,655.17

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Solution

The fourth proportional to 17,206.80, 23,747.18 and 9,655.17 is: 13,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.80 : 23,747.18 = 9,655.17 : x
  2. Step 2: Convert to fraction form
    17,206.80/23,747.18 = 9,655.17/x
  3. Step 3: Cross multiply
    17,206.80x = 23,747.18 × 9,655.17
  4. Step 4: Simplify right side
    17,206.80x = 229,283,059.92
  5. Step 5: Solve for x
    x = 229,283,059.92/17,206.80
  6. Step 6: Final answer
    x = 13,325.14

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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.