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Finding the Fourth Proportional to 17,605.23, 24,294.51 and 9,647.28

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Solution

The fourth proportional to 17,605.23, 24,294.51 and 9,647.28 is: 13,312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.23 : 24,294.51 = 9,647.28 : x
  2. Step 2: Convert to fraction form
    17,605.23/24,294.51 = 9,647.28/x
  3. Step 3: Cross multiply
    17,605.23x = 24,294.51 × 9,647.28
  4. Step 4: Simplify right side
    17,605.23x = 234,375,940.43
  5. Step 5: Solve for x
    x = 234,375,940.43/17,605.23
  6. Step 6: Final answer
    x = 13,312.86

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1.5x scale

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.