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Finding the Fourth Proportional to 14,642.41, 20,206.36 and 7,927.91

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Solution

The fourth proportional to 14,642.41, 20,206.36 and 7,927.91 is: 10,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.41 : 20,206.36 = 7,927.91 : x
  2. Step 2: Convert to fraction form
    14,642.41/20,206.36 = 7,927.91/x
  3. Step 3: Cross multiply
    14,642.41x = 20,206.36 × 7,927.91
  4. Step 4: Simplify right side
    14,642.41x = 160,194,203.51
  5. Step 5: Solve for x
    x = 160,194,203.51/14,642.41
  6. Step 6: Final answer
    x = 10,940.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.