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Finding the Fourth Proportional to 13,615.92, 20,428.92 and 7,038

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Solution

The fourth proportional to 13,615.92, 20,428.92 and 7,038 is: 10,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615.92 : 20,428.92 = 7,038 : x
  2. Step 2: Convert to fraction form
    13,615.92/20,428.92 = 7,038/x
  3. Step 3: Cross multiply
    13,615.92x = 20,428.92 × 7,038
  4. Step 4: Simplify right side
    13,615.92x = 143,778,738.96
  5. Step 5: Solve for x
    x = 143,778,738.96/13,615.92
  6. Step 6: Final answer
    x = 10,559.61

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Why These Related Problems?

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