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Finding the Fourth Proportional to 15,182.06, 22,783.31 and 5,321.42

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Solution

The fourth proportional to 15,182.06, 22,783.31 and 5,321.42 is: 7,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182.06 : 22,783.31 = 5,321.42 : x
  2. Step 2: Convert to fraction form
    15,182.06/22,783.31 = 5,321.42/x
  3. Step 3: Cross multiply
    15,182.06x = 22,783.31 × 5,321.42
  4. Step 4: Simplify right side
    15,182.06x = 121,239,561.50
  5. Step 5: Solve for x
    x = 121,239,561.50/15,182.06
  6. Step 6: Final answer
    x = 7,985.71

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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.