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Finding the Fourth Proportional to 19,666.30, 29,320.55 and 17,450.14

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Solution

The fourth proportional to 19,666.30, 29,320.55 and 17,450.14 is: 26,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.30 : 29,320.55 = 17,450.14 : x
  2. Step 2: Convert to fraction form
    19,666.30/29,320.55 = 17,450.14/x
  3. Step 3: Cross multiply
    19,666.30x = 29,320.55 × 17,450.14
  4. Step 4: Simplify right side
    19,666.30x = 511,647,702.38
  5. Step 5: Solve for x
    x = 511,647,702.38/19,666.30
  6. Step 6: Final answer
    x = 26,016.47

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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.