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Finding the Fourth Proportional to 23,193.44, 32,023.60 and 14,252.94

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Solution

The fourth proportional to 23,193.44, 32,023.60 and 14,252.94 is: 19,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.44 : 32,023.60 = 14,252.94 : x
  2. Step 2: Convert to fraction form
    23,193.44/32,023.60 = 14,252.94/x
  3. Step 3: Cross multiply
    23,193.44x = 32,023.60 × 14,252.94
  4. Step 4: Simplify right side
    23,193.44x = 456,430,449.38
  5. Step 5: Solve for x
    x = 456,430,449.38/23,193.44
  6. Step 6: Final answer
    x = 19,679.29

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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.