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Finding the Fourth Proportional to 23,378.22, 32,261.49 and 12,767.49

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Solution

The fourth proportional to 23,378.22, 32,261.49 and 12,767.49 is: 17,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,378.22 : 32,261.49 = 12,767.49 : x
  2. Step 2: Convert to fraction form
    23,378.22/32,261.49 = 12,767.49/x
  3. Step 3: Cross multiply
    23,378.22x = 32,261.49 × 12,767.49
  4. Step 4: Simplify right side
    23,378.22x = 411,898,250.96
  5. Step 5: Solve for x
    x = 411,898,250.96/23,378.22
  6. Step 6: Final answer
    x = 17,618.89

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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.