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Finding the Fourth Proportional to 12,276.74, 18,423.62 and 4,880.50

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Solution

The fourth proportional to 12,276.74, 18,423.62 and 4,880.50 is: 7,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.74 : 18,423.62 = 4,880.50 : x
  2. Step 2: Convert to fraction form
    12,276.74/18,423.62 = 4,880.50/x
  3. Step 3: Cross multiply
    12,276.74x = 18,423.62 × 4,880.50
  4. Step 4: Simplify right side
    12,276.74x = 89,916,477.41
  5. Step 5: Solve for x
    x = 89,916,477.41/12,276.74
  6. Step 6: Final answer
    x = 7,324.13

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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.