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Finding the Fourth Proportional to 13,340.57, 19,992.96 and 10,382.58

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Solution

The fourth proportional to 13,340.57, 19,992.96 and 10,382.58 is: 15,559.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,340.57 : 19,992.96 = 10,382.58 : x
  2. Step 2: Convert to fraction form
    13,340.57/19,992.96 = 10,382.58/x
  3. Step 3: Cross multiply
    13,340.57x = 19,992.96 × 10,382.58
  4. Step 4: Simplify right side
    13,340.57x = 207,578,506.64
  5. Step 5: Solve for x
    x = 207,578,506.64/13,340.57
  6. Step 6: Final answer
    x = 15,559.95

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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.