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Finding the Fourth Proportional to 21,433.80, 29,578.32 and 12,002.70

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Solution

The fourth proportional to 21,433.80, 29,578.32 and 12,002.70 is: 16,563.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,433.80 : 29,578.32 = 12,002.70 : x
  2. Step 2: Convert to fraction form
    21,433.80/29,578.32 = 12,002.70/x
  3. Step 3: Cross multiply
    21,433.80x = 29,578.32 × 12,002.70
  4. Step 4: Simplify right side
    21,433.80x = 355,019,701.46
  5. Step 5: Solve for x
    x = 355,019,701.46/21,433.80
  6. Step 6: Final answer
    x = 16,563.54

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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.