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Finding the Fourth Proportional to 17,385.68, 23,982 and 11,101.16

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Solution

The fourth proportional to 17,385.68, 23,982 and 11,101.16 is: 15,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,385.68 : 23,982 = 11,101.16 : x
  2. Step 2: Convert to fraction form
    17,385.68/23,982 = 11,101.16/x
  3. Step 3: Cross multiply
    17,385.68x = 23,982 × 11,101.16
  4. Step 4: Simplify right side
    17,385.68x = 266,228,019.12
  5. Step 5: Solve for x
    x = 266,228,019.12/17,385.68
  6. Step 6: Final answer
    x = 15,313.06

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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.