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Finding the Fourth Proportional to 14,062.50, 19,408.68 and 8,473.50

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Solution

The fourth proportional to 14,062.50, 19,408.68 and 8,473.50 is: 11,694.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,062.50 : 19,408.68 = 8,473.50 : x
  2. Step 2: Convert to fraction form
    14,062.50/19,408.68 = 8,473.50/x
  3. Step 3: Cross multiply
    14,062.50x = 19,408.68 × 8,473.50
  4. Step 4: Simplify right side
    14,062.50x = 164,459,449.98
  5. Step 5: Solve for x
    x = 164,459,449.98/14,062.50
  6. Step 6: Final answer
    x = 11,694.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.