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Finding the Fourth Proportional to 13,143.66, 18,046.64 and 12,801.16

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Solution

The fourth proportional to 13,143.66, 18,046.64 and 12,801.16 is: 17,576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.66 : 18,046.64 = 12,801.16 : x
  2. Step 2: Convert to fraction form
    13,143.66/18,046.64 = 12,801.16/x
  3. Step 3: Cross multiply
    13,143.66x = 18,046.64 × 12,801.16
  4. Step 4: Simplify right side
    13,143.66x = 231,017,926.10
  5. Step 5: Solve for x
    x = 231,017,926.10/13,143.66
  6. Step 6: Final answer
    x = 17,576.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.