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Finding the Fourth Proportional to 30,863.04, 42,591.20 and 16,716

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Solution

The fourth proportional to 30,863.04, 42,591.20 and 16,716 is: 23,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,863.04 : 42,591.20 = 16,716 : x
  2. Step 2: Convert to fraction form
    30,863.04/42,591.20 = 16,716/x
  3. Step 3: Cross multiply
    30,863.04x = 42,591.20 × 16,716
  4. Step 4: Simplify right side
    30,863.04x = 711,954,499.20
  5. Step 5: Solve for x
    x = 711,954,499.20/30,863.04
  6. Step 6: Final answer
    x = 23,068.19

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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.