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Finding the Fourth Proportional to 19,567.34, 27,003 and 11,609.38

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Solution

The fourth proportional to 19,567.34, 27,003 and 11,609.38 is: 16,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,567.34 : 27,003 = 11,609.38 : x
  2. Step 2: Convert to fraction form
    19,567.34/27,003 = 11,609.38/x
  3. Step 3: Cross multiply
    19,567.34x = 27,003 × 11,609.38
  4. Step 4: Simplify right side
    19,567.34x = 313,488,088.14
  5. Step 5: Solve for x
    x = 313,488,088.14/19,567.34
  6. Step 6: Final answer
    x = 16,020.99

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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.