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Finding the Fourth Proportional to 17,617.50, 24,309.92 and 9,657.63

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Solution

The fourth proportional to 17,617.50, 24,309.92 and 9,657.63 is: 13,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.50 : 24,309.92 = 9,657.63 : x
  2. Step 2: Convert to fraction form
    17,617.50/24,309.92 = 9,657.63/x
  3. Step 3: Cross multiply
    17,617.50x = 24,309.92 × 9,657.63
  4. Step 4: Simplify right side
    17,617.50x = 234,776,236.83
  5. Step 5: Solve for x
    x = 234,776,236.83/17,617.50
  6. Step 6: Final answer
    x = 13,326.31

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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.