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Finding the Fourth Proportional to 23,542.44, 32,475 and 14,105.54

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Solution

The fourth proportional to 23,542.44, 32,475 and 14,105.54 is: 19,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,542.44 : 32,475 = 14,105.54 : x
  2. Step 2: Convert to fraction form
    23,542.44/32,475 = 14,105.54/x
  3. Step 3: Cross multiply
    23,542.44x = 32,475 × 14,105.54
  4. Step 4: Simplify right side
    23,542.44x = 458,077,411.50
  5. Step 5: Solve for x
    x = 458,077,411.50/23,542.44
  6. Step 6: Final answer
    x = 19,457.52

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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.