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Finding the Fourth Proportional to 13,586.87, 18,741.92 and 8,543.10

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Solution

The fourth proportional to 13,586.87, 18,741.92 and 8,543.10 is: 11,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.87 : 18,741.92 = 8,543.10 : x
  2. Step 2: Convert to fraction form
    13,586.87/18,741.92 = 8,543.10/x
  3. Step 3: Cross multiply
    13,586.87x = 18,741.92 × 8,543.10
  4. Step 4: Simplify right side
    13,586.87x = 160,114,118.11
  5. Step 5: Solve for x
    x = 160,114,118.11/13,586.87
  6. Step 6: Final answer
    x = 11,784.47

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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.