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Finding the Fourth Proportional to 19,711.63, 29,551.74 and 11,382.20

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Solution

The fourth proportional to 19,711.63, 29,551.74 and 11,382.20 is: 17,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.63 : 29,551.74 = 11,382.20 : x
  2. Step 2: Convert to fraction form
    19,711.63/29,551.74 = 11,382.20/x
  3. Step 3: Cross multiply
    19,711.63x = 29,551.74 × 11,382.20
  4. Step 4: Simplify right side
    19,711.63x = 336,363,815.03
  5. Step 5: Solve for x
    x = 336,363,815.03/19,711.63
  6. Step 6: Final answer
    x = 17,064.23

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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.