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Finding the Fourth Proportional to 19,213.50, 26,515.04 and 10,830

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Solution

The fourth proportional to 19,213.50, 26,515.04 and 10,830 is: 14,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,213.50 : 26,515.04 = 10,830 : x
  2. Step 2: Convert to fraction form
    19,213.50/26,515.04 = 10,830/x
  3. Step 3: Cross multiply
    19,213.50x = 26,515.04 × 10,830
  4. Step 4: Simplify right side
    19,213.50x = 287,157,829.05
  5. Step 5: Solve for x
    x = 287,157,829.05/19,213.50
  6. Step 6: Final answer
    x = 14,945.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.