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Finding the Fourth Proportional to 25,594.92, 38,404.08 and 11,558.70

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Solution

The fourth proportional to 25,594.92, 38,404.08 and 11,558.70 is: 17,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.92 : 38,404.08 = 11,558.70 : x
  2. Step 2: Convert to fraction form
    25,594.92/38,404.08 = 11,558.70/x
  3. Step 3: Cross multiply
    25,594.92x = 38,404.08 × 11,558.70
  4. Step 4: Simplify right side
    25,594.92x = 443,901,239.50
  5. Step 5: Solve for x
    x = 443,901,239.50/25,594.92
  6. Step 6: Final answer
    x = 17,343.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.