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Finding the Fourth Proportional to 13,865, 20,785.02 and 5,098.04

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Solution

The fourth proportional to 13,865, 20,785.02 and 5,098.04 is: 7,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865 : 20,785.02 = 5,098.04 : x
  2. Step 2: Convert to fraction form
    13,865/20,785.02 = 5,098.04/x
  3. Step 3: Cross multiply
    13,865x = 20,785.02 × 5,098.04
  4. Step 4: Simplify right side
    13,865x = 105,962,863.36
  5. Step 5: Solve for x
    x = 105,962,863.36/13,865
  6. Step 6: Final answer
    x = 7,642.47

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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.