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Finding the Fourth Proportional to 11,668.46, 17,485.40 and 9,603.14

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Solution

The fourth proportional to 11,668.46, 17,485.40 and 9,603.14 is: 14,390.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.46 : 17,485.40 = 9,603.14 : x
  2. Step 2: Convert to fraction form
    11,668.46/17,485.40 = 9,603.14/x
  3. Step 3: Cross multiply
    11,668.46x = 17,485.40 × 9,603.14
  4. Step 4: Simplify right side
    11,668.46x = 167,914,744.16
  5. Step 5: Solve for x
    x = 167,914,744.16/11,668.46
  6. Step 6: Final answer
    x = 14,390.48

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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.