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Finding the Fourth Proportional to 22,606.50, 31,197.02 and 12,670.50

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Solution

The fourth proportional to 22,606.50, 31,197.02 and 12,670.50 is: 17,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,606.50 : 31,197.02 = 12,670.50 : x
  2. Step 2: Convert to fraction form
    22,606.50/31,197.02 = 12,670.50/x
  3. Step 3: Cross multiply
    22,606.50x = 31,197.02 × 12,670.50
  4. Step 4: Simplify right side
    22,606.50x = 395,281,778.56
  5. Step 5: Solve for x
    x = 395,281,778.56/22,606.50
  6. Step 6: Final answer
    x = 17,485.32

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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.