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Finding the Fourth Proportional to 17,677.44, 24,393.96 and 9,719.46

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Solution

The fourth proportional to 17,677.44, 24,393.96 and 9,719.46 is: 13,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.44 : 24,393.96 = 9,719.46 : x
  2. Step 2: Convert to fraction form
    17,677.44/24,393.96 = 9,719.46/x
  3. Step 3: Cross multiply
    17,677.44x = 24,393.96 × 9,719.46
  4. Step 4: Simplify right side
    17,677.44x = 237,096,118.46
  5. Step 5: Solve for x
    x = 237,096,118.46/17,677.44
  6. Step 6: Final answer
    x = 13,412.36

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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.