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Finding the Fourth Proportional to 14,020.38, 19,348.13 and 7,733.16

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Solution

The fourth proportional to 14,020.38, 19,348.13 and 7,733.16 is: 10,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.38 : 19,348.13 = 7,733.16 : x
  2. Step 2: Convert to fraction form
    14,020.38/19,348.13 = 7,733.16/x
  3. Step 3: Cross multiply
    14,020.38x = 19,348.13 × 7,733.16
  4. Step 4: Simplify right side
    14,020.38x = 149,622,184.99
  5. Step 5: Solve for x
    x = 149,622,184.99/14,020.38
  6. Step 6: Final answer
    x = 10,671.76

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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.