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Finding the Fourth Proportional to 17,735.21, 24,473.76 and 10,176.36

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Solution

The fourth proportional to 17,735.21, 24,473.76 and 10,176.36 is: 14,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.21 : 24,473.76 = 10,176.36 : x
  2. Step 2: Convert to fraction form
    17,735.21/24,473.76 = 10,176.36/x
  3. Step 3: Cross multiply
    17,735.21x = 24,473.76 × 10,176.36
  4. Step 4: Simplify right side
    17,735.21x = 249,053,792.31
  5. Step 5: Solve for x
    x = 249,053,792.31/17,735.21
  6. Step 6: Final answer
    x = 14,042.90

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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.