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Finding the Fourth Proportional to 19,908.34, 27,462.08 and 12,443.38

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Solution

The fourth proportional to 19,908.34, 27,462.08 and 12,443.38 is: 17,164.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,908.34 : 27,462.08 = 12,443.38 : x
  2. Step 2: Convert to fraction form
    19,908.34/27,462.08 = 12,443.38/x
  3. Step 3: Cross multiply
    19,908.34x = 27,462.08 × 12,443.38
  4. Step 4: Simplify right side
    19,908.34x = 341,721,097.03
  5. Step 5: Solve for x
    x = 341,721,097.03/19,908.34
  6. Step 6: Final answer
    x = 17,164.72

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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.