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Finding the Fourth Proportional to 17,649.80, 24,357.15 and 9,583.80

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Solution

The fourth proportional to 17,649.80, 24,357.15 and 9,583.80 is: 13,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,649.80 : 24,357.15 = 9,583.80 : x
  2. Step 2: Convert to fraction form
    17,649.80/24,357.15 = 9,583.80/x
  3. Step 3: Cross multiply
    17,649.80x = 24,357.15 × 9,583.80
  4. Step 4: Simplify right side
    17,649.80x = 233,434,054.17
  5. Step 5: Solve for x
    x = 233,434,054.17/17,649.80
  6. Step 6: Final answer
    x = 13,225.88

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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.