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Finding the Fourth Proportional to 17,562.30, 24,234.74 and 9,604.36

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Solution

The fourth proportional to 17,562.30, 24,234.74 and 9,604.36 is: 13,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,562.30 : 24,234.74 = 9,604.36 : x
  2. Step 2: Convert to fraction form
    17,562.30/24,234.74 = 9,604.36/x
  3. Step 3: Cross multiply
    17,562.30x = 24,234.74 × 9,604.36
  4. Step 4: Simplify right side
    17,562.30x = 232,759,167.47
  5. Step 5: Solve for x
    x = 232,759,167.47/17,562.30
  6. Step 6: Final answer
    x = 13,253.34

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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.