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Finding the Fourth Proportional to 17,590.30, 24,273.86 and 9,632.38

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Solution

The fourth proportional to 17,590.30, 24,273.86 and 9,632.38 is: 13,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,590.30 : 24,273.86 = 9,632.38 : x
  2. Step 2: Convert to fraction form
    17,590.30/24,273.86 = 9,632.38/x
  3. Step 3: Cross multiply
    17,590.30x = 24,273.86 × 9,632.38
  4. Step 4: Simplify right side
    17,590.30x = 233,815,043.59
  5. Step 5: Solve for x
    x = 233,815,043.59/17,590.30
  6. Step 6: Final answer
    x = 13,292.27

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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.