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Finding the Fourth Proportional to 22,972.99, 31,700.49 and 12,899.49

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Solution

The fourth proportional to 22,972.99, 31,700.49 and 12,899.49 is: 17,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972.99 : 31,700.49 = 12,899.49 : x
  2. Step 2: Convert to fraction form
    22,972.99/31,700.49 = 12,899.49/x
  3. Step 3: Cross multiply
    22,972.99x = 31,700.49 × 12,899.49
  4. Step 4: Simplify right side
    22,972.99x = 408,920,153.75
  5. Step 5: Solve for x
    x = 408,920,153.75/22,972.99
  6. Step 6: Final answer
    x = 17,800.04

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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.