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Finding the Fourth Proportional to 17,602.31, 24,291.19 and 9,644.82

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Solution

The fourth proportional to 17,602.31, 24,291.19 and 9,644.82 is: 13,309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602.31 : 24,291.19 = 9,644.82 : x
  2. Step 2: Convert to fraction form
    17,602.31/24,291.19 = 9,644.82/x
  3. Step 3: Cross multiply
    17,602.31x = 24,291.19 × 9,644.82
  4. Step 4: Simplify right side
    17,602.31x = 234,284,212.74
  5. Step 5: Solve for x
    x = 234,284,212.74/17,602.31
  6. Step 6: Final answer
    x = 13,309.85

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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.