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Finding the Fourth Proportional to 14,486.74, 21,734.70 and 7,091.98

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Solution

The fourth proportional to 14,486.74, 21,734.70 and 7,091.98 is: 10,640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.74 : 21,734.70 = 7,091.98 : x
  2. Step 2: Convert to fraction form
    14,486.74/21,734.70 = 7,091.98/x
  3. Step 3: Cross multiply
    14,486.74x = 21,734.70 × 7,091.98
  4. Step 4: Simplify right side
    14,486.74x = 154,142,057.71
  5. Step 5: Solve for x
    x = 154,142,057.71/14,486.74
  6. Step 6: Final answer
    x = 10,640.22

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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.