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Finding the Fourth Proportional to 15,949, 23,928.54 and 7,184.68

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Solution

The fourth proportional to 15,949, 23,928.54 and 7,184.68 is: 10,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,949 : 23,928.54 = 7,184.68 : x
  2. Step 2: Convert to fraction form
    15,949/23,928.54 = 7,184.68/x
  3. Step 3: Cross multiply
    15,949x = 23,928.54 × 7,184.68
  4. Step 4: Simplify right side
    15,949x = 171,918,902.77
  5. Step 5: Solve for x
    x = 171,918,902.77/15,949
  6. Step 6: Final answer
    x = 10,779.29

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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.