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Finding the Fourth Proportional to 19,977.03, 29,960.69 and 9,446.63

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Solution

The fourth proportional to 19,977.03, 29,960.69 and 9,446.63 is: 14,167.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.03 : 29,960.69 = 9,446.63 : x
  2. Step 2: Convert to fraction form
    19,977.03/29,960.69 = 9,446.63/x
  3. Step 3: Cross multiply
    19,977.03x = 29,960.69 × 9,446.63
  4. Step 4: Simplify right side
    19,977.03x = 283,027,355.94
  5. Step 5: Solve for x
    x = 283,027,355.94/19,977.03
  6. Step 6: Final answer
    x = 14,167.64

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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.