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Finding the Fourth Proportional to 13,461.63, 18,578.06 and 7,797.90

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Solution

The fourth proportional to 13,461.63, 18,578.06 and 7,797.90 is: 10,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.63 : 18,578.06 = 7,797.90 : x
  2. Step 2: Convert to fraction form
    13,461.63/18,578.06 = 7,797.90/x
  3. Step 3: Cross multiply
    13,461.63x = 18,578.06 × 7,797.90
  4. Step 4: Simplify right side
    13,461.63x = 144,869,815.08
  5. Step 5: Solve for x
    x = 144,869,815.08/13,461.63
  6. Step 6: Final answer
    x = 10,761.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.