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Finding the Fourth Proportional to 12,029.40, 18,043.72 and 3,709.08

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Solution

The fourth proportional to 12,029.40, 18,043.72 and 3,709.08 is: 5,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.40 : 18,043.72 = 3,709.08 : x
  2. Step 2: Convert to fraction form
    12,029.40/18,043.72 = 3,709.08/x
  3. Step 3: Cross multiply
    12,029.40x = 18,043.72 × 3,709.08
  4. Step 4: Simplify right side
    12,029.40x = 66,925,600.98
  5. Step 5: Solve for x
    x = 66,925,600.98/12,029.40
  6. Step 6: Final answer
    x = 5,563.50

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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.