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Finding the Fourth Proportional to 13,594.31, 18,770.76 and 8,816.52

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Solution

The fourth proportional to 13,594.31, 18,770.76 and 8,816.52 is: 12,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.31 : 18,770.76 = 8,816.52 : x
  2. Step 2: Convert to fraction form
    13,594.31/18,770.76 = 8,816.52/x
  3. Step 3: Cross multiply
    13,594.31x = 18,770.76 × 8,816.52
  4. Step 4: Simplify right side
    13,594.31x = 165,492,780.96
  5. Step 5: Solve for x
    x = 165,492,780.96/13,594.31
  6. Step 6: Final answer
    x = 12,173.68

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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.