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Finding the Fourth Proportional to 12,494.54, 17,234.51 and 9,503.82

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Solution

The fourth proportional to 12,494.54, 17,234.51 and 9,503.82 is: 13,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.54 : 17,234.51 = 9,503.82 : x
  2. Step 2: Convert to fraction form
    12,494.54/17,234.51 = 9,503.82/x
  3. Step 3: Cross multiply
    12,494.54x = 17,234.51 × 9,503.82
  4. Step 4: Simplify right side
    12,494.54x = 163,793,633.31
  5. Step 5: Solve for x
    x = 163,793,633.31/12,494.54
  6. Step 6: Final answer
    x = 13,109.22

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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.