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Finding the Fourth Proportional to 23,136, 31,932 and 13,200

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Solution

The fourth proportional to 23,136, 31,932 and 13,200 is: 18,218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,136 : 31,932 = 13,200 : x
  2. Step 2: Convert to fraction form
    23,136/31,932 = 13,200/x
  3. Step 3: Cross multiply
    23,136x = 31,932 × 13,200
  4. Step 4: Simplify right side
    23,136x = 421,502,400
  5. Step 5: Solve for x
    x = 421,502,400/23,136
  6. Step 6: Final answer
    x = 18,218.46

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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.