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Finding the Fourth Proportional to 14,042.22, 21,048.21 and 7,461.78

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Solution

The fourth proportional to 14,042.22, 21,048.21 and 7,461.78 is: 11,184.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.22 : 21,048.21 = 7,461.78 : x
  2. Step 2: Convert to fraction form
    14,042.22/21,048.21 = 7,461.78/x
  3. Step 3: Cross multiply
    14,042.22x = 21,048.21 × 7,461.78
  4. Step 4: Simplify right side
    14,042.22x = 157,057,112.41
  5. Step 5: Solve for x
    x = 157,057,112.41/14,042.22
  6. Step 6: Final answer
    x = 11,184.64

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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.