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Finding the Fourth Proportional to 29,856.54, 41,204.52 and 16,430.34

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Solution

The fourth proportional to 29,856.54, 41,204.52 and 16,430.34 is: 22,675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.54 : 41,204.52 = 16,430.34 : x
  2. Step 2: Convert to fraction form
    29,856.54/41,204.52 = 16,430.34/x
  3. Step 3: Cross multiply
    29,856.54x = 41,204.52 × 16,430.34
  4. Step 4: Simplify right side
    29,856.54x = 677,004,273.14
  5. Step 5: Solve for x
    x = 677,004,273.14/29,856.54
  6. Step 6: Final answer
    x = 22,675.24

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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.