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Finding the Fourth Proportional to 12,347.63, 18,523.07 and 4,024.73

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Solution

The fourth proportional to 12,347.63, 18,523.07 and 4,024.73 is: 6,037.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.63 : 18,523.07 = 4,024.73 : x
  2. Step 2: Convert to fraction form
    12,347.63/18,523.07 = 4,024.73/x
  3. Step 3: Cross multiply
    12,347.63x = 18,523.07 × 4,024.73
  4. Step 4: Simplify right side
    12,347.63x = 74,550,242.78
  5. Step 5: Solve for x
    x = 74,550,242.78/12,347.63
  6. Step 6: Final answer
    x = 6,037.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.