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Finding the Fourth Proportional to 12,354.74, 17,049.64 and 7,049.52

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Solution

The fourth proportional to 12,354.74, 17,049.64 and 7,049.52 is: 9,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.74 : 17,049.64 = 7,049.52 : x
  2. Step 2: Convert to fraction form
    12,354.74/17,049.64 = 7,049.52/x
  3. Step 3: Cross multiply
    12,354.74x = 17,049.64 × 7,049.52
  4. Step 4: Simplify right side
    12,354.74x = 120,191,778.17
  5. Step 5: Solve for x
    x = 120,191,778.17/12,354.74
  6. Step 6: Final answer
    x = 9,728.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.