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Finding the Fourth Proportional to 23,199.28, 32,020.50 and 13,773.28

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Solution

The fourth proportional to 23,199.28, 32,020.50 and 13,773.28 is: 19,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,199.28 : 32,020.50 = 13,773.28 : x
  2. Step 2: Convert to fraction form
    23,199.28/32,020.50 = 13,773.28/x
  3. Step 3: Cross multiply
    23,199.28x = 32,020.50 × 13,773.28
  4. Step 4: Simplify right side
    23,199.28x = 441,027,312.24
  5. Step 5: Solve for x
    x = 441,027,312.24/23,199.28
  6. Step 6: Final answer
    x = 19,010.39

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Why These Related Problems?

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