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Finding the Fourth Proportional to 20,184.72, 30,276.84 and 7,037.06

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Solution

The fourth proportional to 20,184.72, 30,276.84 and 7,037.06 is: 10,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.72 : 30,276.84 = 7,037.06 : x
  2. Step 2: Convert to fraction form
    20,184.72/30,276.84 = 7,037.06/x
  3. Step 3: Cross multiply
    20,184.72x = 30,276.84 × 7,037.06
  4. Step 4: Simplify right side
    20,184.72x = 213,059,788.31
  5. Step 5: Solve for x
    x = 213,059,788.31/20,184.72
  6. Step 6: Final answer
    x = 10,555.50

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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.