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Finding the Fourth Proportional to 13,868.49, 20,799 and 6,465.72

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Solution

The fourth proportional to 13,868.49, 20,799 and 6,465.72 is: 9,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.49 : 20,799 = 6,465.72 : x
  2. Step 2: Convert to fraction form
    13,868.49/20,799 = 6,465.72/x
  3. Step 3: Cross multiply
    13,868.49x = 20,799 × 6,465.72
  4. Step 4: Simplify right side
    13,868.49x = 134,480,510.28
  5. Step 5: Solve for x
    x = 134,480,510.28/13,868.49
  6. Step 6: Final answer
    x = 9,696.84

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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.