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Finding the Fourth Proportional to 13,386.96, 20,054.50 and 10,302.48

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Solution

The fourth proportional to 13,386.96, 20,054.50 and 10,302.48 is: 15,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.96 : 20,054.50 = 10,302.48 : x
  2. Step 2: Convert to fraction form
    13,386.96/20,054.50 = 10,302.48/x
  3. Step 3: Cross multiply
    13,386.96x = 20,054.50 × 10,302.48
  4. Step 4: Simplify right side
    13,386.96x = 206,611,059.40
  5. Step 5: Solve for x
    x = 206,611,059.40/13,386.96
  6. Step 6: Final answer
    x = 15,433.75

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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.