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Finding the Fourth Proportional to 13,135.89, 19,696.87 and 5,731.70

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Solution

The fourth proportional to 13,135.89, 19,696.87 and 5,731.70 is: 8,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.89 : 19,696.87 = 5,731.70 : x
  2. Step 2: Convert to fraction form
    13,135.89/19,696.87 = 5,731.70/x
  3. Step 3: Cross multiply
    13,135.89x = 19,696.87 × 5,731.70
  4. Step 4: Simplify right side
    13,135.89x = 112,896,532.32
  5. Step 5: Solve for x
    x = 112,896,532.32/13,135.89
  6. Step 6: Final answer
    x = 8,594.51

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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.