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Finding the Fourth Proportional to 12,359.50, 18,539.10 and 2,999.61

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Solution

The fourth proportional to 12,359.50, 18,539.10 and 2,999.61 is: 4,499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359.50 : 18,539.10 = 2,999.61 : x
  2. Step 2: Convert to fraction form
    12,359.50/18,539.10 = 2,999.61/x
  3. Step 3: Cross multiply
    12,359.50x = 18,539.10 × 2,999.61
  4. Step 4: Simplify right side
    12,359.50x = 55,610,069.75
  5. Step 5: Solve for x
    x = 55,610,069.75/12,359.50
  6. Step 6: Final answer
    x = 4,499.38

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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.