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Finding the Fourth Proportional to 15,732.66, 23,604.03 and 7,829.94

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Solution

The fourth proportional to 15,732.66, 23,604.03 and 7,829.94 is: 11,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732.66 : 23,604.03 = 7,829.94 : x
  2. Step 2: Convert to fraction form
    15,732.66/23,604.03 = 7,829.94/x
  3. Step 3: Cross multiply
    15,732.66x = 23,604.03 × 7,829.94
  4. Step 4: Simplify right side
    15,732.66x = 184,818,138.66
  5. Step 5: Solve for x
    x = 184,818,138.66/15,732.66
  6. Step 6: Final answer
    x = 11,747.42

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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.