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Finding the Fourth Proportional to 13,690.93, 18,889.63 and 9,160.27

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Solution

The fourth proportional to 13,690.93, 18,889.63 and 9,160.27 is: 12,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.93 : 18,889.63 = 9,160.27 : x
  2. Step 2: Convert to fraction form
    13,690.93/18,889.63 = 9,160.27/x
  3. Step 3: Cross multiply
    13,690.93x = 18,889.63 × 9,160.27
  4. Step 4: Simplify right side
    13,690.93x = 173,034,172.89
  5. Step 5: Solve for x
    x = 173,034,172.89/13,690.93
  6. Step 6: Final answer
    x = 12,638.60

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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.