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Finding the Fourth Proportional to 30,146.54, 41,599.50 and 16,717.76

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Solution

The fourth proportional to 30,146.54, 41,599.50 and 16,717.76 is: 23,068.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.54 : 41,599.50 = 16,717.76 : x
  2. Step 2: Convert to fraction form
    30,146.54/41,599.50 = 16,717.76/x
  3. Step 3: Cross multiply
    30,146.54x = 41,599.50 × 16,717.76
  4. Step 4: Simplify right side
    30,146.54x = 695,450,249.12
  5. Step 5: Solve for x
    x = 695,450,249.12/30,146.54
  6. Step 6: Final answer
    x = 23,068.99

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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.