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Finding the Fourth Proportional to 23,238, 32,072.76 and 13,302

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Solution

The fourth proportional to 23,238, 32,072.76 and 13,302 is: 18,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238 : 32,072.76 = 13,302 : x
  2. Step 2: Convert to fraction form
    23,238/32,072.76 = 13,302/x
  3. Step 3: Cross multiply
    23,238x = 32,072.76 × 13,302
  4. Step 4: Simplify right side
    23,238x = 426,631,853.52
  5. Step 5: Solve for x
    x = 426,631,853.52/23,238
  6. Step 6: Final answer
    x = 18,359.23

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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.