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Finding the Fourth Proportional to 12,711.96, 19,016.10 and 10,638.36

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Solution

The fourth proportional to 12,711.96, 19,016.10 and 10,638.36 is: 15,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.96 : 19,016.10 = 10,638.36 : x
  2. Step 2: Convert to fraction form
    12,711.96/19,016.10 = 10,638.36/x
  3. Step 3: Cross multiply
    12,711.96x = 19,016.10 × 10,638.36
  4. Step 4: Simplify right side
    12,711.96x = 202,300,117.60
  5. Step 5: Solve for x
    x = 202,300,117.60/12,711.96
  6. Step 6: Final answer
    x = 15,914.16

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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.