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Finding the Fourth Proportional to 12,443.59, 17,194 and 9,946.29

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Solution

The fourth proportional to 12,443.59, 17,194 and 9,946.29 is: 13,743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.59 : 17,194 = 9,946.29 : x
  2. Step 2: Convert to fraction form
    12,443.59/17,194 = 9,946.29/x
  3. Step 3: Cross multiply
    12,443.59x = 17,194 × 9,946.29
  4. Step 4: Simplify right side
    12,443.59x = 171,016,510.26
  5. Step 5: Solve for x
    x = 171,016,510.26/12,443.59
  6. Step 6: Final answer
    x = 13,743.34

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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.