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Finding the Fourth Proportional to 13,853.54, 19,125.65 and 9,146.09

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Solution

The fourth proportional to 13,853.54, 19,125.65 and 9,146.09 is: 12,626.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.54 : 19,125.65 = 9,146.09 : x
  2. Step 2: Convert to fraction form
    13,853.54/19,125.65 = 9,146.09/x
  3. Step 3: Cross multiply
    13,853.54x = 19,125.65 × 9,146.09
  4. Step 4: Simplify right side
    13,853.54x = 174,924,916.21
  5. Step 5: Solve for x
    x = 174,924,916.21/13,853.54
  6. Step 6: Final answer
    x = 12,626.73

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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.