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Finding the Fourth Proportional to 22,623.76, 31,222.02 and 14,672.80

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Solution

The fourth proportional to 22,623.76, 31,222.02 and 14,672.80 is: 20,249.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623.76 : 31,222.02 = 14,672.80 : x
  2. Step 2: Convert to fraction form
    22,623.76/31,222.02 = 14,672.80/x
  3. Step 3: Cross multiply
    22,623.76x = 31,222.02 × 14,672.80
  4. Step 4: Simplify right side
    22,623.76x = 458,114,455.06
  5. Step 5: Solve for x
    x = 458,114,455.06/22,623.76
  6. Step 6: Final answer
    x = 20,249.26

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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.