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Finding the Fourth Proportional to 13,493.68, 18,624.61 and 9,193.88

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Solution

The fourth proportional to 13,493.68, 18,624.61 and 9,193.88 is: 12,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,493.68 : 18,624.61 = 9,193.88 : x
  2. Step 2: Convert to fraction form
    13,493.68/18,624.61 = 9,193.88/x
  3. Step 3: Cross multiply
    13,493.68x = 18,624.61 × 9,193.88
  4. Step 4: Simplify right side
    13,493.68x = 171,232,506.67
  5. Step 5: Solve for x
    x = 171,232,506.67/13,493.68
  6. Step 6: Final answer
    x = 12,689.83

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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.