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Finding the Fourth Proportional to 16,480.74, 22,743.81 and 9,407.82

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Solution

The fourth proportional to 16,480.74, 22,743.81 and 9,407.82 is: 12,983.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,480.74 : 22,743.81 = 9,407.82 : x
  2. Step 2: Convert to fraction form
    16,480.74/22,743.81 = 9,407.82/x
  3. Step 3: Cross multiply
    16,480.74x = 22,743.81 × 9,407.82
  4. Step 4: Simplify right side
    16,480.74x = 213,969,670.59
  5. Step 5: Solve for x
    x = 213,969,670.59/16,480.74
  6. Step 6: Final answer
    x = 12,983.01

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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.