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Finding the Fourth Proportional to 17,584, 24,262.04 and 10,779.48

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Solution

The fourth proportional to 17,584, 24,262.04 and 10,779.48 is: 14,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584 : 24,262.04 = 10,779.48 : x
  2. Step 2: Convert to fraction form
    17,584/24,262.04 = 10,779.48/x
  3. Step 3: Cross multiply
    17,584x = 24,262.04 × 10,779.48
  4. Step 4: Simplify right side
    17,584x = 261,532,174.94
  5. Step 5: Solve for x
    x = 261,532,174.94/17,584
  6. Step 6: Final answer
    x = 14,873.30

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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.