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Finding the Fourth Proportional to 16,854.95, 23,262.87 and 9,781.38

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Solution

The fourth proportional to 16,854.95, 23,262.87 and 9,781.38 is: 13,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.95 : 23,262.87 = 9,781.38 : x
  2. Step 2: Convert to fraction form
    16,854.95/23,262.87 = 9,781.38/x
  3. Step 3: Cross multiply
    16,854.95x = 23,262.87 × 9,781.38
  4. Step 4: Simplify right side
    16,854.95x = 227,542,971.36
  5. Step 5: Solve for x
    x = 227,542,971.36/16,854.95
  6. Step 6: Final answer
    x = 13,500.07

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Why These Related Problems?

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