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Finding the Fourth Proportional to 16,598.50, 22,906.29 and 9,146.50

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Solution

The fourth proportional to 16,598.50, 22,906.29 and 9,146.50 is: 12,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.50 : 22,906.29 = 9,146.50 : x
  2. Step 2: Convert to fraction form
    16,598.50/22,906.29 = 9,146.50/x
  3. Step 3: Cross multiply
    16,598.50x = 22,906.29 × 9,146.50
  4. Step 4: Simplify right side
    16,598.50x = 209,512,381.49
  5. Step 5: Solve for x
    x = 209,512,381.49/16,598.50
  6. Step 6: Final answer
    x = 12,622.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.