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Finding the Fourth Proportional to 17,708.37, 24,429.84 and 10,152.97

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Solution

The fourth proportional to 17,708.37, 24,429.84 and 10,152.97 is: 14,006.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,708.37 : 24,429.84 = 10,152.97 : x
  2. Step 2: Convert to fraction form
    17,708.37/24,429.84 = 10,152.97/x
  3. Step 3: Cross multiply
    17,708.37x = 24,429.84 × 10,152.97
  4. Step 4: Simplify right side
    17,708.37x = 248,035,310.48
  5. Step 5: Solve for x
    x = 248,035,310.48/17,708.37
  6. Step 6: Final answer
    x = 14,006.67

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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.