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Finding the Fourth Proportional to 25,533.88, 38,287.86 and 11,671

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Solution

The fourth proportional to 25,533.88, 38,287.86 and 11,671 is: 17,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,533.88 : 38,287.86 = 11,671 : x
  2. Step 2: Convert to fraction form
    25,533.88/38,287.86 = 11,671/x
  3. Step 3: Cross multiply
    25,533.88x = 38,287.86 × 11,671
  4. Step 4: Simplify right side
    25,533.88x = 446,857,614.06
  5. Step 5: Solve for x
    x = 446,857,614.06/25,533.88
  6. Step 6: Final answer
    x = 17,500.58

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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.