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Finding the Fourth Proportional to 17,665.17, 24,378.02 and 9,707.54

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Solution

The fourth proportional to 17,665.17, 24,378.02 and 9,707.54 is: 13,396.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.17 : 24,378.02 = 9,707.54 : x
  2. Step 2: Convert to fraction form
    17,665.17/24,378.02 = 9,707.54/x
  3. Step 3: Cross multiply
    17,665.17x = 24,378.02 × 9,707.54
  4. Step 4: Simplify right side
    17,665.17x = 236,650,433.84
  5. Step 5: Solve for x
    x = 236,650,433.84/17,665.17
  6. Step 6: Final answer
    x = 13,396.44

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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.