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Finding the Fourth Proportional to 13,615.34, 20,386.29 and 9,446.54

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Solution

The fourth proportional to 13,615.34, 20,386.29 and 9,446.54 is: 14,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.34 : 20,386.29 = 9,446.54 : x
  2. Step 2: Convert to fraction form
    13,615.34/20,386.29 = 9,446.54/x
  3. Step 3: Cross multiply
    13,615.34x = 20,386.29 × 9,446.54
  4. Step 4: Simplify right side
    13,615.34x = 192,579,903.94
  5. Step 5: Solve for x
    x = 192,579,903.94/13,615.34
  6. Step 6: Final answer
    x = 14,144.33

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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.