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Finding the Fourth Proportional to 21,605.88, 29,816.12 and 12,174.78

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Solution

The fourth proportional to 21,605.88, 29,816.12 and 12,174.78 is: 16,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605.88 : 29,816.12 = 12,174.78 : x
  2. Step 2: Convert to fraction form
    21,605.88/29,816.12 = 12,174.78/x
  3. Step 3: Cross multiply
    21,605.88x = 29,816.12 × 12,174.78
  4. Step 4: Simplify right side
    21,605.88x = 363,004,701.45
  5. Step 5: Solve for x
    x = 363,004,701.45/21,605.88
  6. Step 6: Final answer
    x = 16,801.20

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1.5x scale

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.