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Finding the Fourth Proportional to 13,762.96, 20,627.76 and 6,352

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Solution

The fourth proportional to 13,762.96, 20,627.76 and 6,352 is: 9,520.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.96 : 20,627.76 = 6,352 : x
  2. Step 2: Convert to fraction form
    13,762.96/20,627.76 = 6,352/x
  3. Step 3: Cross multiply
    13,762.96x = 20,627.76 × 6,352
  4. Step 4: Simplify right side
    13,762.96x = 131,027,531.52
  5. Step 5: Solve for x
    x = 131,027,531.52/13,762.96
  6. Step 6: Final answer
    x = 9,520.30

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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.