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Finding the Fourth Proportional to 13,445.79, 20,168.22 and 5,125.50

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Solution

The fourth proportional to 13,445.79, 20,168.22 and 5,125.50 is: 7,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,445.79 : 20,168.22 = 5,125.50 : x
  2. Step 2: Convert to fraction form
    13,445.79/20,168.22 = 5,125.50/x
  3. Step 3: Cross multiply
    13,445.79x = 20,168.22 × 5,125.50
  4. Step 4: Simplify right side
    13,445.79x = 103,372,211.61
  5. Step 5: Solve for x
    x = 103,372,211.61/13,445.79
  6. Step 6: Final answer
    x = 7,688.07

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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.