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Finding the Fourth Proportional to 21,715, 29,968.20 and 12,283.60

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Solution

The fourth proportional to 21,715, 29,968.20 and 12,283.60 is: 16,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,715 : 29,968.20 = 12,283.60 : x
  2. Step 2: Convert to fraction form
    21,715/29,968.20 = 12,283.60/x
  3. Step 3: Cross multiply
    21,715x = 29,968.20 × 12,283.60
  4. Step 4: Simplify right side
    21,715x = 368,117,381.52
  5. Step 5: Solve for x
    x = 368,117,381.52/21,715
  6. Step 6: Final answer
    x = 16,952.22

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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.