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Finding the Fourth Proportional to 12,339.34, 17,015.11 and 9,946.80

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Solution

The fourth proportional to 12,339.34, 17,015.11 and 9,946.80 is: 13,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,339.34 : 17,015.11 = 9,946.80 : x
  2. Step 2: Convert to fraction form
    12,339.34/17,015.11 = 9,946.80/x
  3. Step 3: Cross multiply
    12,339.34x = 17,015.11 × 9,946.80
  4. Step 4: Simplify right side
    12,339.34x = 169,245,927.23
  5. Step 5: Solve for x
    x = 169,245,927.23/12,339.34
  6. Step 6: Final answer
    x = 13,715.97

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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.