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Finding the Fourth Proportional to 11,402.31, 17,109.39 and 8,628.16

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Solution

The fourth proportional to 11,402.31, 17,109.39 and 8,628.16 is: 12,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,402.31 : 17,109.39 = 8,628.16 : x
  2. Step 2: Convert to fraction form
    11,402.31/17,109.39 = 8,628.16/x
  3. Step 3: Cross multiply
    11,402.31x = 17,109.39 × 8,628.16
  4. Step 4: Simplify right side
    11,402.31x = 147,622,554.42
  5. Step 5: Solve for x
    x = 147,622,554.42/11,402.31
  6. Step 6: Final answer
    x = 12,946.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.