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Finding the Fourth Proportional to 21,433.84, 29,578.67 and 12,002.47

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Solution

The fourth proportional to 21,433.84, 29,578.67 and 12,002.47 is: 16,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,433.84 : 29,578.67 = 12,002.47 : x
  2. Step 2: Convert to fraction form
    21,433.84/29,578.67 = 12,002.47/x
  3. Step 3: Cross multiply
    21,433.84x = 29,578.67 × 12,002.47
  4. Step 4: Simplify right side
    21,433.84x = 355,017,010.37
  5. Step 5: Solve for x
    x = 355,017,010.37/21,433.84
  6. Step 6: Final answer
    x = 16,563.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.