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Finding the Fourth Proportional to 12,533.50, 18,801.52 and 4,638.10

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Solution

The fourth proportional to 12,533.50, 18,801.52 and 4,638.10 is: 6,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.50 : 18,801.52 = 4,638.10 : x
  2. Step 2: Convert to fraction form
    12,533.50/18,801.52 = 4,638.10/x
  3. Step 3: Cross multiply
    12,533.50x = 18,801.52 × 4,638.10
  4. Step 4: Simplify right side
    12,533.50x = 87,203,329.91
  5. Step 5: Solve for x
    x = 87,203,329.91/12,533.50
  6. Step 6: Final answer
    x = 6,957.62

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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.