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Finding the Fourth Proportional to 17,669.10, 24,383.16 and 9,711.12

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Solution

The fourth proportional to 17,669.10, 24,383.16 and 9,711.12 is: 13,401.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.10 : 24,383.16 = 9,711.12 : x
  2. Step 2: Convert to fraction form
    17,669.10/24,383.16 = 9,711.12/x
  3. Step 3: Cross multiply
    17,669.10x = 24,383.16 × 9,711.12
  4. Step 4: Simplify right side
    17,669.10x = 236,787,792.74
  5. Step 5: Solve for x
    x = 236,787,792.74/17,669.10
  6. Step 6: Final answer
    x = 13,401.24

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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.