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Finding the Fourth Proportional to 22,771.89, 31,425.38 and 12,700.98

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Solution

The fourth proportional to 22,771.89, 31,425.38 and 12,700.98 is: 17,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.89 : 31,425.38 = 12,700.98 : x
  2. Step 2: Convert to fraction form
    22,771.89/31,425.38 = 12,700.98/x
  3. Step 3: Cross multiply
    22,771.89x = 31,425.38 × 12,700.98
  4. Step 4: Simplify right side
    22,771.89x = 399,133,122.87
  5. Step 5: Solve for x
    x = 399,133,122.87/22,771.89
  6. Step 6: Final answer
    x = 17,527.45

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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.