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Finding the Fourth Proportional to 17,687.88, 24,409.14 and 9,730.44

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Solution

The fourth proportional to 17,687.88, 24,409.14 and 9,730.44 is: 13,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.88 : 24,409.14 = 9,730.44 : x
  2. Step 2: Convert to fraction form
    17,687.88/24,409.14 = 9,730.44/x
  3. Step 3: Cross multiply
    17,687.88x = 24,409.14 × 9,730.44
  4. Step 4: Simplify right side
    17,687.88x = 237,511,672.22
  5. Step 5: Solve for x
    x = 237,511,672.22/17,687.88
  6. Step 6: Final answer
    x = 13,427.93

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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.