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Finding the Fourth Proportional to 15,245.10, 22,851.78 and 7,833.06

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Solution

The fourth proportional to 15,245.10, 22,851.78 and 7,833.06 is: 11,741.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,245.10 : 22,851.78 = 7,833.06 : x
  2. Step 2: Convert to fraction form
    15,245.10/22,851.78 = 7,833.06/x
  3. Step 3: Cross multiply
    15,245.10x = 22,851.78 × 7,833.06
  4. Step 4: Simplify right side
    15,245.10x = 178,999,363.85
  5. Step 5: Solve for x
    x = 178,999,363.85/15,245.10
  6. Step 6: Final answer
    x = 11,741.44

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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.