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Finding the Fourth Proportional to 14,965, 22,450.74 and 5,731

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Solution

The fourth proportional to 14,965, 22,450.74 and 5,731 is: 8,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965 : 22,450.74 = 5,731 : x
  2. Step 2: Convert to fraction form
    14,965/22,450.74 = 5,731/x
  3. Step 3: Cross multiply
    14,965x = 22,450.74 × 5,731
  4. Step 4: Simplify right side
    14,965x = 128,665,190.94
  5. Step 5: Solve for x
    x = 128,665,190.94/14,965
  6. Step 6: Final answer
    x = 8,597.74

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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.