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Finding the Fourth Proportional to 17,605.72, 24,295.98 and 9,647.92

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Solution

The fourth proportional to 17,605.72, 24,295.98 and 9,647.92 is: 13,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,605.72 : 24,295.98 = 9,647.92 : x
  2. Step 2: Convert to fraction form
    17,605.72/24,295.98 = 9,647.92/x
  3. Step 3: Cross multiply
    17,605.72x = 24,295.98 × 9,647.92
  4. Step 4: Simplify right side
    17,605.72x = 234,405,671.36
  5. Step 5: Solve for x
    x = 234,405,671.36/17,605.72
  6. Step 6: Final answer
    x = 13,314.18

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Half scale
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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.