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Finding the Fourth Proportional to 23,145.37, 31,940.54 and 12,535

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Solution

The fourth proportional to 23,145.37, 31,940.54 and 12,535 is: 17,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.37 : 31,940.54 = 12,535 : x
  2. Step 2: Convert to fraction form
    23,145.37/31,940.54 = 12,535/x
  3. Step 3: Cross multiply
    23,145.37x = 31,940.54 × 12,535
  4. Step 4: Simplify right side
    23,145.37x = 400,374,668.90
  5. Step 5: Solve for x
    x = 400,374,668.90/23,145.37
  6. Step 6: Final answer
    x = 17,298.26

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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.