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Finding the Fourth Proportional to 12,499.41, 18,749.22 and 3,734.40

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Solution

The fourth proportional to 12,499.41, 18,749.22 and 3,734.40 is: 5,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,499.41 : 18,749.22 = 3,734.40 : x
  2. Step 2: Convert to fraction form
    12,499.41/18,749.22 = 3,734.40/x
  3. Step 3: Cross multiply
    12,499.41x = 18,749.22 × 3,734.40
  4. Step 4: Simplify right side
    12,499.41x = 70,017,068.50
  5. Step 5: Solve for x
    x = 70,017,068.50/12,499.41
  6. Step 6: Final answer
    x = 5,601.63

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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.