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Finding the Fourth Proportional to 13,226.40, 18,253.29 and 8,742.30

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Solution

The fourth proportional to 13,226.40, 18,253.29 and 8,742.30 is: 12,064.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,226.40 : 18,253.29 = 8,742.30 : x
  2. Step 2: Convert to fraction form
    13,226.40/18,253.29 = 8,742.30/x
  3. Step 3: Cross multiply
    13,226.40x = 18,253.29 × 8,742.30
  4. Step 4: Simplify right side
    13,226.40x = 159,575,737.17
  5. Step 5: Solve for x
    x = 159,575,737.17/13,226.40
  6. Step 6: Final answer
    x = 12,064.94

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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.