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Finding the Fourth Proportional to 12,427.76, 18,641.70 and 4,636.50

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Solution

The fourth proportional to 12,427.76, 18,641.70 and 4,636.50 is: 6,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.76 : 18,641.70 = 4,636.50 : x
  2. Step 2: Convert to fraction form
    12,427.76/18,641.70 = 4,636.50/x
  3. Step 3: Cross multiply
    12,427.76x = 18,641.70 × 4,636.50
  4. Step 4: Simplify right side
    12,427.76x = 86,432,242.05
  5. Step 5: Solve for x
    x = 86,432,242.05/12,427.76
  6. Step 6: Final answer
    x = 6,954.78

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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.