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Finding the Fourth Proportional to 13,586.91, 18,741.31 and 9,815.62

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Solution

The fourth proportional to 13,586.91, 18,741.31 and 9,815.62 is: 13,539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.91 : 18,741.31 = 9,815.62 : x
  2. Step 2: Convert to fraction form
    13,586.91/18,741.31 = 9,815.62/x
  3. Step 3: Cross multiply
    13,586.91x = 18,741.31 × 9,815.62
  4. Step 4: Simplify right side
    13,586.91x = 183,957,596.22
  5. Step 5: Solve for x
    x = 183,957,596.22/13,586.91
  6. Step 6: Final answer
    x = 13,539.32

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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.