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Finding the Fourth Proportional to 30,006.28, 41,409.50 and 16,578.40

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Solution

The fourth proportional to 30,006.28, 41,409.50 and 16,578.40 is: 22,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,006.28 : 41,409.50 = 16,578.40 : x
  2. Step 2: Convert to fraction form
    30,006.28/41,409.50 = 16,578.40/x
  3. Step 3: Cross multiply
    30,006.28x = 41,409.50 × 16,578.40
  4. Step 4: Simplify right side
    30,006.28x = 686,503,254.80
  5. Step 5: Solve for x
    x = 686,503,254.80/30,006.28
  6. Step 6: Final answer
    x = 22,878.65

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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.