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Finding the Fourth Proportional to 11,907.68, 17,848.56 and 10,171.04

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Solution

The fourth proportional to 11,907.68, 17,848.56 and 10,171.04 is: 15,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.68 : 17,848.56 = 10,171.04 : x
  2. Step 2: Convert to fraction form
    11,907.68/17,848.56 = 10,171.04/x
  3. Step 3: Cross multiply
    11,907.68x = 17,848.56 × 10,171.04
  4. Step 4: Simplify right side
    11,907.68x = 181,538,417.70
  5. Step 5: Solve for x
    x = 181,538,417.70/11,907.68
  6. Step 6: Final answer
    x = 15,245.49

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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.