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Finding the Fourth Proportional to 17,605.78, 24,295.97 and 9,647.98

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Solution

The fourth proportional to 17,605.78, 24,295.97 and 9,647.98 is: 13,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.78 : 24,295.97 = 9,647.98 : x
  2. Step 2: Convert to fraction form
    17,605.78/24,295.97 = 9,647.98/x
  3. Step 3: Cross multiply
    17,605.78x = 24,295.97 × 9,647.98
  4. Step 4: Simplify right side
    17,605.78x = 234,406,996.02
  5. Step 5: Solve for x
    x = 234,406,996.02/17,605.78
  6. Step 6: Final answer
    x = 13,314.21

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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.