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Finding the Fourth Proportional to 17,024.22, 23,493.08 and 9,470.38

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Solution

The fourth proportional to 17,024.22, 23,493.08 and 9,470.38 is: 13,068.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024.22 : 23,493.08 = 9,470.38 : x
  2. Step 2: Convert to fraction form
    17,024.22/23,493.08 = 9,470.38/x
  3. Step 3: Cross multiply
    17,024.22x = 23,493.08 × 9,470.38
  4. Step 4: Simplify right side
    17,024.22x = 222,488,394.97
  5. Step 5: Solve for x
    x = 222,488,394.97/17,024.22
  6. Step 6: Final answer
    x = 13,068.93

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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.