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Finding the Fourth Proportional to 12,559.34, 17,331.86 and 6,894.12

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Solution

The fourth proportional to 12,559.34, 17,331.86 and 6,894.12 is: 9,513.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,559.34 : 17,331.86 = 6,894.12 : x
  2. Step 2: Convert to fraction form
    12,559.34/17,331.86 = 6,894.12/x
  3. Step 3: Cross multiply
    12,559.34x = 17,331.86 × 6,894.12
  4. Step 4: Simplify right side
    12,559.34x = 119,487,922.66
  5. Step 5: Solve for x
    x = 119,487,922.66/12,559.34
  6. Step 6: Final answer
    x = 9,513.87

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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.