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Finding the Fourth Proportional to 17,735.36, 24,473.75 and 10,180.49

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Solution

The fourth proportional to 17,735.36, 24,473.75 and 10,180.49 is: 14,048.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.36 : 24,473.75 = 10,180.49 : x
  2. Step 2: Convert to fraction form
    17,735.36/24,473.75 = 10,180.49/x
  3. Step 3: Cross multiply
    17,735.36x = 24,473.75 × 10,180.49
  4. Step 4: Simplify right side
    17,735.36x = 249,154,593.87
  5. Step 5: Solve for x
    x = 249,154,593.87/17,735.36
  6. Step 6: Final answer
    x = 14,048.47

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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.