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Finding the Fourth Proportional to 12,652.26, 18,848.49 and 12,083.64

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Solution

The fourth proportional to 12,652.26, 18,848.49 and 12,083.64 is: 18,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.26 : 18,848.49 = 12,083.64 : x
  2. Step 2: Convert to fraction form
    12,652.26/18,848.49 = 12,083.64/x
  3. Step 3: Cross multiply
    12,652.26x = 18,848.49 × 12,083.64
  4. Step 4: Simplify right side
    12,652.26x = 227,758,367.70
  5. Step 5: Solve for x
    x = 227,758,367.70/12,652.26
  6. Step 6: Final answer
    x = 18,001.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.