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Finding the Fourth Proportional to 12,272.76, 16,935.96 and 7,237.20

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Solution

The fourth proportional to 12,272.76, 16,935.96 and 7,237.20 is: 9,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.76 : 16,935.96 = 7,237.20 : x
  2. Step 2: Convert to fraction form
    12,272.76/16,935.96 = 7,237.20/x
  3. Step 3: Cross multiply
    12,272.76x = 16,935.96 × 7,237.20
  4. Step 4: Simplify right side
    12,272.76x = 122,568,929.71
  5. Step 5: Solve for x
    x = 122,568,929.71/12,272.76
  6. Step 6: Final answer
    x = 9,987.07

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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.