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Finding the Fourth Proportional to 13,575.12, 18,733.64 and 8,269.94

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Solution

The fourth proportional to 13,575.12, 18,733.64 and 8,269.94 is: 11,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.12 : 18,733.64 = 8,269.94 : x
  2. Step 2: Convert to fraction form
    13,575.12/18,733.64 = 8,269.94/x
  3. Step 3: Cross multiply
    13,575.12x = 18,733.64 × 8,269.94
  4. Step 4: Simplify right side
    13,575.12x = 154,926,025.41
  5. Step 5: Solve for x
    x = 154,926,025.41/13,575.12
  6. Step 6: Final answer
    x = 11,412.50

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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.