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Finding the Fourth Proportional to 13,618.38, 18,795.54 and 12,729

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Solution

The fourth proportional to 13,618.38, 18,795.54 and 12,729 is: 17,568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.38 : 18,795.54 = 12,729 : x
  2. Step 2: Convert to fraction form
    13,618.38/18,795.54 = 12,729/x
  3. Step 3: Cross multiply
    13,618.38x = 18,795.54 × 12,729
  4. Step 4: Simplify right side
    13,618.38x = 239,248,428.66
  5. Step 5: Solve for x
    x = 239,248,428.66/13,618.38
  6. Step 6: Final answer
    x = 17,568.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.