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Finding the Fourth Proportional to 23,386, 32,274.90 and 12,777.23

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Solution

The fourth proportional to 23,386, 32,274.90 and 12,777.23 is: 17,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,386 : 32,274.90 = 12,777.23 : x
  2. Step 2: Convert to fraction form
    23,386/32,274.90 = 12,777.23/x
  3. Step 3: Cross multiply
    23,386x = 32,274.90 × 12,777.23
  4. Step 4: Simplify right side
    23,386x = 412,383,820.53
  5. Step 5: Solve for x
    x = 412,383,820.53/23,386
  6. Step 6: Final answer
    x = 17,633.79

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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.