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Finding the Fourth Proportional to 14,042.38, 21,079.77 and 7,131.46

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Solution

The fourth proportional to 14,042.38, 21,079.77 and 7,131.46 is: 10,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.38 : 21,079.77 = 7,131.46 : x
  2. Step 2: Convert to fraction form
    14,042.38/21,079.77 = 7,131.46/x
  3. Step 3: Cross multiply
    14,042.38x = 21,079.77 × 7,131.46
  4. Step 4: Simplify right side
    14,042.38x = 150,329,395.51
  5. Step 5: Solve for x
    x = 150,329,395.51/14,042.38
  6. Step 6: Final answer
    x = 10,705.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.