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Finding the Fourth Proportional to 30,005.66, 41,400.80 and 17,906.76

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Solution

The fourth proportional to 30,005.66, 41,400.80 and 17,906.76 is: 24,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.66 : 41,400.80 = 17,906.76 : x
  2. Step 2: Convert to fraction form
    30,005.66/41,400.80 = 17,906.76/x
  3. Step 3: Cross multiply
    30,005.66x = 41,400.80 × 17,906.76
  4. Step 4: Simplify right side
    30,005.66x = 741,354,099.87
  5. Step 5: Solve for x
    x = 741,354,099.87/30,005.66
  6. Step 6: Final answer
    x = 24,707.15

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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.