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Finding the Fourth Proportional to 19,457.60, 29,213.43 and 13,520.50

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Solution

The fourth proportional to 19,457.60, 29,213.43 and 13,520.50 is: 20,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,457.60 : 29,213.43 = 13,520.50 : x
  2. Step 2: Convert to fraction form
    19,457.60/29,213.43 = 13,520.50/x
  3. Step 3: Cross multiply
    19,457.60x = 29,213.43 × 13,520.50
  4. Step 4: Simplify right side
    19,457.60x = 394,980,180.32
  5. Step 5: Solve for x
    x = 394,980,180.32/19,457.60
  6. Step 6: Final answer
    x = 20,299.53

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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.