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Finding the Fourth Proportional to 12,230.46, 18,345.69 and 4,838.40

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Solution

The fourth proportional to 12,230.46, 18,345.69 and 4,838.40 is: 7,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.46 : 18,345.69 = 4,838.40 : x
  2. Step 2: Convert to fraction form
    12,230.46/18,345.69 = 4,838.40/x
  3. Step 3: Cross multiply
    12,230.46x = 18,345.69 × 4,838.40
  4. Step 4: Simplify right side
    12,230.46x = 88,763,786.50
  5. Step 5: Solve for x
    x = 88,763,786.50/12,230.46
  6. Step 6: Final answer
    x = 7,257.60

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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.