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Finding the Fourth Proportional to 15,817.40, 21,826.50 and 8,742.68

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Solution

The fourth proportional to 15,817.40, 21,826.50 and 8,742.68 is: 12,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.40 : 21,826.50 = 8,742.68 : x
  2. Step 2: Convert to fraction form
    15,817.40/21,826.50 = 8,742.68/x
  3. Step 3: Cross multiply
    15,817.40x = 21,826.50 × 8,742.68
  4. Step 4: Simplify right side
    15,817.40x = 190,822,105.02
  5. Step 5: Solve for x
    x = 190,822,105.02/15,817.40
  6. Step 6: Final answer
    x = 12,064.06

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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.