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Finding the Fourth Proportional to 17,630.32, 24,326.04 and 10,174

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Solution

The fourth proportional to 17,630.32, 24,326.04 and 10,174 is: 14,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630.32 : 24,326.04 = 10,174 : x
  2. Step 2: Convert to fraction form
    17,630.32/24,326.04 = 10,174/x
  3. Step 3: Cross multiply
    17,630.32x = 24,326.04 × 10,174
  4. Step 4: Simplify right side
    17,630.32x = 247,493,130.96
  5. Step 5: Solve for x
    x = 247,493,130.96/17,630.32
  6. Step 6: Final answer
    x = 14,037.93

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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.