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Finding the Fourth Proportional to 17,564.78, 24,239.12 and 9,606.94

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Solution

The fourth proportional to 17,564.78, 24,239.12 and 9,606.94 is: 13,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,564.78 : 24,239.12 = 9,606.94 : x
  2. Step 2: Convert to fraction form
    17,564.78/24,239.12 = 9,606.94/x
  3. Step 3: Cross multiply
    17,564.78x = 24,239.12 × 9,606.94
  4. Step 4: Simplify right side
    17,564.78x = 232,863,662.86
  5. Step 5: Solve for x
    x = 232,863,662.86/17,564.78
  6. Step 6: Final answer
    x = 13,257.42

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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.