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Finding the Fourth Proportional to 19,382.80, 29,074.20 and 16,466.80

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Solution

The fourth proportional to 19,382.80, 29,074.20 and 16,466.80 is: 24,700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382.80 : 29,074.20 = 16,466.80 : x
  2. Step 2: Convert to fraction form
    19,382.80/29,074.20 = 16,466.80/x
  3. Step 3: Cross multiply
    19,382.80x = 29,074.20 × 16,466.80
  4. Step 4: Simplify right side
    19,382.80x = 478,759,036.56
  5. Step 5: Solve for x
    x = 478,759,036.56/19,382.80
  6. Step 6: Final answer
    x = 24,700.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.