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Finding the Fourth Proportional to 13,420.50, 20,134.32 and 4,655.40

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Solution

The fourth proportional to 13,420.50, 20,134.32 and 4,655.40 is: 6,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.50 : 20,134.32 = 4,655.40 : x
  2. Step 2: Convert to fraction form
    13,420.50/20,134.32 = 4,655.40/x
  3. Step 3: Cross multiply
    13,420.50x = 20,134.32 × 4,655.40
  4. Step 4: Simplify right side
    13,420.50x = 93,733,313.33
  5. Step 5: Solve for x
    x = 93,733,313.33/13,420.50
  6. Step 6: Final answer
    x = 6,984.34

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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.