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Finding the Fourth Proportional to 30,205.16, 41,684.51 and 16,776.47

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Solution

The fourth proportional to 30,205.16, 41,684.51 and 16,776.47 is: 23,152.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.16 : 41,684.51 = 16,776.47 : x
  2. Step 2: Convert to fraction form
    30,205.16/41,684.51 = 16,776.47/x
  3. Step 3: Cross multiply
    30,205.16x = 41,684.51 × 16,776.47
  4. Step 4: Simplify right side
    30,205.16x = 699,318,639.17
  5. Step 5: Solve for x
    x = 699,318,639.17/30,205.16
  6. Step 6: Final answer
    x = 23,152.29

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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.