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Finding the Fourth Proportional to 22,938.09, 34,412.34 and 8,146.98

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Solution

The fourth proportional to 22,938.09, 34,412.34 and 8,146.98 is: 12,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,938.09 : 34,412.34 = 8,146.98 : x
  2. Step 2: Convert to fraction form
    22,938.09/34,412.34 = 8,146.98/x
  3. Step 3: Cross multiply
    22,938.09x = 34,412.34 × 8,146.98
  4. Step 4: Simplify right side
    22,938.09x = 280,356,676.28
  5. Step 5: Solve for x
    x = 280,356,676.28/22,938.09
  6. Step 6: Final answer
    x = 12,222.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.