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Finding the Fourth Proportional to 14,642.37, 20,206.48 and 7,928

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Solution

The fourth proportional to 14,642.37, 20,206.48 and 7,928 is: 10,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.37 : 20,206.48 = 7,928 : x
  2. Step 2: Convert to fraction form
    14,642.37/20,206.48 = 7,928/x
  3. Step 3: Cross multiply
    14,642.37x = 20,206.48 × 7,928
  4. Step 4: Simplify right side
    14,642.37x = 160,196,973.44
  5. Step 5: Solve for x
    x = 160,196,973.44/14,642.37
  6. Step 6: Final answer
    x = 10,940.65

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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.