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Finding the Fourth Proportional to 21,702.39, 29,949.93 and 12,270.75

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Solution

The fourth proportional to 21,702.39, 29,949.93 and 12,270.75 is: 16,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.39 : 29,949.93 = 12,270.75 : x
  2. Step 2: Convert to fraction form
    21,702.39/29,949.93 = 12,270.75/x
  3. Step 3: Cross multiply
    21,702.39x = 29,949.93 × 12,270.75
  4. Step 4: Simplify right side
    21,702.39x = 367,508,103.55
  5. Step 5: Solve for x
    x = 367,508,103.55/21,702.39
  6. Step 6: Final answer
    x = 16,933.99

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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.